SlideShare a Scribd company logo
1 of 22
Sanjivani Rural Education Society’s
Sanjivani College of Engineering, Kopargaon-423603
( An Autonomous Institute Affiliated to Savitribai Phule Pune University, Pune)
NAAC β€˜A’ Grade Accredited, ISO 9001:2015 Certified
Subject :- Theory of Machines II
T.E. Mechanical (302043)
Unit 4 Cam and Follower
4.5 Uniform Acceleration Retardation-Graphical
Method
By
Prof. K. N. Wakchaure(Asst Professor)
Department of Mechanical Engineering
Sanjivani College of Engineering
(An Autonomous Institute)
Kopargaon, Maharashtra
Email: wakchaurekiranmech@Sanjivani.org.in Mobile:- +91-7588025393
ο‚· S= Stroke length
ο‚· 𝝎 = π‘¨π’π’ˆπ’–π’π’‚π’“ π’—π’†π’π’π’„π’Šπ’•π’š 𝒐𝒇 π‘ͺπ’‚π’Ž
ο‚· 𝜭 = π‘ͺπ’‚π’Ž π’‚π’π’ˆπ’π’†
ο‚· 𝜭 𝑢 = π‘Άπ’–π’•π’”π’•π’“π’π’Œπ’† π’‚π’π’ˆπ’π’†
ο‚· 𝜭 𝑫𝑢 = π‘«π’˜π’†π’π’ 𝒂𝒇𝒕𝒆𝒓 π‘Άπ’–π’•π’”π’•π’“π’π’Œπ’† π’‚π’π’ˆπ’π’†
ο‚· 𝜭 𝑹 = 𝑹𝒆𝒕𝒖𝒓𝒏𝒔 π‘Ίπ’•π’“π’π’Œπ’† π’‚π’π’ˆπ’π’†
ο‚· 𝜭 𝑫𝑹 = π‘«π’˜π’†π’π’ 𝒂𝒇𝒕𝒆𝒓 𝑹𝒆𝒕𝒖𝒓𝒏 π’”π’•π’“π’π’Œπ’† π’‚π’π’ˆπ’π’†
Uniform Acceleration Retardation- Graphical Method
STEP 1. Draw horizontal line of 180mm
Which denotes cam angle of 360˚
O
Uniform Acceleration Retardation- Graphical Method
STEP 2. Draw vertical line length= stroke length
Uniform Acceleration Retardation- Graphical Method
S
STEP 2. Draw vertical line length= stroke length
Vertical line denotes Displacement of Follower
Uniform Acceleration Retardation- Graphical Method
S
STEP 2. Draw vertical line length= stroke length
Cam Angle 𝛳
Uniform Acceleration Retardation- Graphical Method
𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ
S
Cam Angle 𝛳
STEP 3. Divide Horizontal line into 4 parts
Take π›³π‘œ=60mm, 𝛳 π·π‘œ=20mm, π›³π‘œ=60mm, π›³π‘œ=40mm,
Uniform Acceleration Retardation- Graphical Method
𝛳 𝑅=90˚ 𝛳 𝐷𝑅=120Λšπ›³ π·π‘œ=30Λšπ›³π‘œ=120˚
S
STEP 3. Divide Horizontal line into 4 parts
Take π›³π‘œ=60mm, 𝛳 π·π‘œ=20mm, π›³π‘œ=60mm, π›³π‘œ=40mm,
Uniform Acceleration Retardation- Graphical Method
Uniform Acceleration Retardation- Graphical Method
𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ
S
Cam Angle 𝛳
STEP 4. Divide outstroke and return stroke into 6 equal parts and draw
vertical line through thee points.
Take π›³π‘œ=60mm, 𝛳 π·π‘œ=20mm, π›³π‘œ=60mm, π›³π‘œ=40mm,
Uniform Acceleration Retardation- Graphical Method
𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ
S
Cam Angle 𝛳
STEP 5. Take middle part of outstroke angle i.e segment 3 and divide it
into 6 equal parts.
Uniform Acceleration Retardation- Graphical Method
𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ
S
Cam Angle 𝛳
STEP 6. Give the numbering to the points.
Uniform Acceleration Retardation- Graphical Method
𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ
S
Cam Angle 𝛳
STEP 7. Draw one diagonal line from bottom left corner of outstroke angle.
Uniform Acceleration Retardation- Graphical Method
𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ
S
Cam Angle 𝛳
STEP 7. Join first three points from bottom left corner of outstroke angle.
Uniform Acceleration Retardation- Graphical Method
𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ
S
Cam Angle 𝛳
STEP 8. Join next three points from top right corner of outstroke angle.
Uniform Acceleration Retardation- Graphical Method
𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ
S
Cam Angle 𝛳
STEP 9. give the proper notation to the points marked .
Uniform Acceleration Retardation- Graphical Method
𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ
S
Cam Angle 𝛳
STEP 10. Draw curve through points a-b-c-d-e-f.
Uniform Acceleration Retardation- Graphical Method
𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ
S
Cam Angle 𝛳
STEP 11. join points f-g(Dwell)
Uniform Acceleration Retardation- Graphical Method
𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ
S
Cam Angle 𝛳
STEP 12 Again select midsection of return stroke angle (segment 10) and
divide it into 6 equal parts.(Give proper notation)
Uniform Acceleration Retardation- Graphical Method
𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ
S
Cam Angle 𝛳
STEP 13 Joint the segments of line 10 from top left corner and bottom left
corner of return stroke.
Uniform Acceleration Retardation- Graphical Method
𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ
S
Cam Angle 𝛳
STEP 13 mark the intersection point. And give the proper notation.
Uniform Acceleration Retardation- Graphical Method
𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ
S
Cam Angle 𝛳
STEP 13 Draw a curve though the points.
22Subject :- Theory of Machines II

More Related Content

What's hot

Heat conduction in cartesian co-ordinates
Heat conduction in cartesian co-ordinatesHeat conduction in cartesian co-ordinates
Heat conduction in cartesian co-ordinatesTade Govind
Β 
REFRIGERATION AND AIR CONDITIONING
REFRIGERATION AND AIR CONDITIONINGREFRIGERATION AND AIR CONDITIONING
REFRIGERATION AND AIR CONDITIONINGDivakar Ketha
Β 
Introduction to refrigeration systems
Introduction to refrigeration systemsIntroduction to refrigeration systems
Introduction to refrigeration systemsVishu Sharma
Β 
FOUR BAR CHAIN AND INVERSIONS
FOUR BAR CHAIN AND INVERSIONSFOUR BAR CHAIN AND INVERSIONS
FOUR BAR CHAIN AND INVERSIONSsaahil kshatriya
Β 
Branches of TOM, Machine & Structure, Kinematic Links
Branches of TOM, Machine & Structure, Kinematic LinksBranches of TOM, Machine & Structure, Kinematic Links
Branches of TOM, Machine & Structure, Kinematic LinksAkash Patel
Β 
Hooke's joint
Hooke's jointHooke's joint
Hooke's jointLakhan Mali
Β 
Refrigeration system
Refrigeration systemRefrigeration system
Refrigeration systemdhrupal gandhi
Β 
Forced convection
Forced convectionForced convection
Forced convectionmsg15
Β 
CAM AND FOLLOWER
CAM AND FOLLOWERCAM AND FOLLOWER
CAM AND FOLLOWERKunj Thummar
Β 
Refrigeration and Air Conditioning
Refrigeration and Air Conditioning Refrigeration and Air Conditioning
Refrigeration and Air Conditioning CHANDRA SEKHAR
Β 
1.4 law of gearing
1.4 law of gearing1.4 law of gearing
1.4 law of gearingKiran Wakchaure
Β 
Vapour absorption refrigeration systems
Vapour absorption refrigeration systemsVapour absorption refrigeration systems
Vapour absorption refrigeration systemsAkshay Mistri
Β 
Degree of reaction
Degree of reactionDegree of reaction
Degree of reactionHarshit Jain
Β 
Module 2 instantenous center method
Module 2 instantenous center methodModule 2 instantenous center method
Module 2 instantenous center methodtaruian
Β 
WHITWORTH QUICK RETURN MECHANISM
WHITWORTH QUICK RETURN MECHANISMWHITWORTH QUICK RETURN MECHANISM
WHITWORTH QUICK RETURN MECHANISMGOWTHAMGOWSIK98
Β 

What's hot (20)

STEAM JET COOLING SYSTEM
STEAM JET COOLING SYSTEMSTEAM JET COOLING SYSTEM
STEAM JET COOLING SYSTEM
Β 
Heat conduction in cartesian co-ordinates
Heat conduction in cartesian co-ordinatesHeat conduction in cartesian co-ordinates
Heat conduction in cartesian co-ordinates
Β 
REFRIGERATION AND AIR CONDITIONING
REFRIGERATION AND AIR CONDITIONINGREFRIGERATION AND AIR CONDITIONING
REFRIGERATION AND AIR CONDITIONING
Β 
Gyroscope
GyroscopeGyroscope
Gyroscope
Β 
Introduction to refrigeration systems
Introduction to refrigeration systemsIntroduction to refrigeration systems
Introduction to refrigeration systems
Β 
FOUR BAR CHAIN AND INVERSIONS
FOUR BAR CHAIN AND INVERSIONSFOUR BAR CHAIN AND INVERSIONS
FOUR BAR CHAIN AND INVERSIONS
Β 
Branches of TOM, Machine & Structure, Kinematic Links
Branches of TOM, Machine & Structure, Kinematic LinksBranches of TOM, Machine & Structure, Kinematic Links
Branches of TOM, Machine & Structure, Kinematic Links
Β 
Governor
GovernorGovernor
Governor
Β 
Hooke's joint
Hooke's jointHooke's joint
Hooke's joint
Β 
Refrigeration system
Refrigeration systemRefrigeration system
Refrigeration system
Β 
Forced convection
Forced convectionForced convection
Forced convection
Β 
CAM AND FOLLOWER
CAM AND FOLLOWERCAM AND FOLLOWER
CAM AND FOLLOWER
Β 
Refrigeration and Air Conditioning
Refrigeration and Air Conditioning Refrigeration and Air Conditioning
Refrigeration and Air Conditioning
Β 
1 wheels
1 wheels1 wheels
1 wheels
Β 
1.4 law of gearing
1.4 law of gearing1.4 law of gearing
1.4 law of gearing
Β 
Steam nozzle
Steam nozzleSteam nozzle
Steam nozzle
Β 
Vapour absorption refrigeration systems
Vapour absorption refrigeration systemsVapour absorption refrigeration systems
Vapour absorption refrigeration systems
Β 
Degree of reaction
Degree of reactionDegree of reaction
Degree of reaction
Β 
Module 2 instantenous center method
Module 2 instantenous center methodModule 2 instantenous center method
Module 2 instantenous center method
Β 
WHITWORTH QUICK RETURN MECHANISM
WHITWORTH QUICK RETURN MECHANISMWHITWORTH QUICK RETURN MECHANISM
WHITWORTH QUICK RETURN MECHANISM
Β 

Similar to 4.5 UNIORM ACCELERATION AND RETARDATION

4.4 Cam and Follower , Simple Harmonic Motion
4.4 Cam and Follower , Simple Harmonic Motion4.4 Cam and Follower , Simple Harmonic Motion
4.4 Cam and Follower , Simple Harmonic MotionKiran Wakchaure
Β 
Engineering graphics
Engineering graphicsEngineering graphics
Engineering graphicsKumar Aluru
Β 
4.2 follower motion
4.2 follower motion4.2 follower motion
4.2 follower motionKiran Wakchaure
Β 
4.9 polynomial cam
4.9 polynomial cam4.9 polynomial cam
4.9 polynomial camKiran Wakchaure
Β 
Coriolis Component numerical
Coriolis Component numericalCoriolis Component numerical
Coriolis Component numericalKiran Wakchaure
Β 
Modelling Planar Vehicle Dynamics using Bicycle Model
Modelling Planar Vehicle Dynamics using Bicycle ModelModelling Planar Vehicle Dynamics using Bicycle Model
Modelling Planar Vehicle Dynamics using Bicycle ModelAkshay Mistri
Β 
A Mixed Bi-directional S-curve Acceleration/Deceleration Control Algorithm fo...
A Mixed Bi-directional S-curve Acceleration/Deceleration Control Algorithm fo...A Mixed Bi-directional S-curve Acceleration/Deceleration Control Algorithm fo...
A Mixed Bi-directional S-curve Acceleration/Deceleration Control Algorithm fo...IJRES Journal
Β 
Relative velocity method, velocity & acceleration analysis of mechanism
Relative velocity method, velocity & acceleration analysis of mechanismRelative velocity method, velocity & acceleration analysis of mechanism
Relative velocity method, velocity & acceleration analysis of mechanismKESHAV
Β 
Module-3a.pptx
Module-3a.pptxModule-3a.pptx
Module-3a.pptxshivam363610
Β 
Ejercicios asignados a yonathan david diaz granados
Ejercicios asignados a yonathan david diaz granadosEjercicios asignados a yonathan david diaz granados
Ejercicios asignados a yonathan david diaz granadosYonathanDavidDiazGra
Β 
4.8 cam jump phenomenon
4.8 cam jump phenomenon4.8 cam jump phenomenon
4.8 cam jump phenomenonKiran Wakchaure
Β 
Diapositivas maqueta en coordenadas normales_y_tangenciales
Diapositivas maqueta en coordenadas normales_y_tangencialesDiapositivas maqueta en coordenadas normales_y_tangenciales
Diapositivas maqueta en coordenadas normales_y_tangencialesARIELMATHEOCHANCUSIG
Β 
KOM Slides_02D_Velocity and 03C_Acceleration Analysis.pdf
KOM Slides_02D_Velocity and 03C_Acceleration Analysis.pdfKOM Slides_02D_Velocity and 03C_Acceleration Analysis.pdf
KOM Slides_02D_Velocity and 03C_Acceleration Analysis.pdfhappycocoman
Β 
interactive voting based map matching algorithm
interactive voting based map matching algorithminteractive voting based map matching algorithm
interactive voting based map matching algorithmYousef Fadila
Β 
DiseΓ±o y construccion de maqueta en coordendas normales y tangenciales sanche...
DiseΓ±o y construccion de maqueta en coordendas normales y tangenciales sanche...DiseΓ±o y construccion de maqueta en coordendas normales y tangenciales sanche...
DiseΓ±o y construccion de maqueta en coordendas normales y tangenciales sanche...MATEOSEBASTIANSANCHE
Β 
672 refrigeration & air conditioning 1st sem
672 refrigeration & air conditioning 1st sem672 refrigeration & air conditioning 1st sem
672 refrigeration & air conditioning 1st semA.M. ATIQULLAH
Β 
Site Surveying Traversing
Site Surveying TraversingSite Surveying Traversing
Site Surveying TraversingDarren Lee
Β 

Similar to 4.5 UNIORM ACCELERATION AND RETARDATION (17)

4.4 Cam and Follower , Simple Harmonic Motion
4.4 Cam and Follower , Simple Harmonic Motion4.4 Cam and Follower , Simple Harmonic Motion
4.4 Cam and Follower , Simple Harmonic Motion
Β 
Engineering graphics
Engineering graphicsEngineering graphics
Engineering graphics
Β 
4.2 follower motion
4.2 follower motion4.2 follower motion
4.2 follower motion
Β 
4.9 polynomial cam
4.9 polynomial cam4.9 polynomial cam
4.9 polynomial cam
Β 
Coriolis Component numerical
Coriolis Component numericalCoriolis Component numerical
Coriolis Component numerical
Β 
Modelling Planar Vehicle Dynamics using Bicycle Model
Modelling Planar Vehicle Dynamics using Bicycle ModelModelling Planar Vehicle Dynamics using Bicycle Model
Modelling Planar Vehicle Dynamics using Bicycle Model
Β 
A Mixed Bi-directional S-curve Acceleration/Deceleration Control Algorithm fo...
A Mixed Bi-directional S-curve Acceleration/Deceleration Control Algorithm fo...A Mixed Bi-directional S-curve Acceleration/Deceleration Control Algorithm fo...
A Mixed Bi-directional S-curve Acceleration/Deceleration Control Algorithm fo...
Β 
Relative velocity method, velocity & acceleration analysis of mechanism
Relative velocity method, velocity & acceleration analysis of mechanismRelative velocity method, velocity & acceleration analysis of mechanism
Relative velocity method, velocity & acceleration analysis of mechanism
Β 
Module-3a.pptx
Module-3a.pptxModule-3a.pptx
Module-3a.pptx
Β 
Ejercicios asignados a yonathan david diaz granados
Ejercicios asignados a yonathan david diaz granadosEjercicios asignados a yonathan david diaz granados
Ejercicios asignados a yonathan david diaz granados
Β 
4.8 cam jump phenomenon
4.8 cam jump phenomenon4.8 cam jump phenomenon
4.8 cam jump phenomenon
Β 
Diapositivas maqueta en coordenadas normales_y_tangenciales
Diapositivas maqueta en coordenadas normales_y_tangencialesDiapositivas maqueta en coordenadas normales_y_tangenciales
Diapositivas maqueta en coordenadas normales_y_tangenciales
Β 
KOM Slides_02D_Velocity and 03C_Acceleration Analysis.pdf
KOM Slides_02D_Velocity and 03C_Acceleration Analysis.pdfKOM Slides_02D_Velocity and 03C_Acceleration Analysis.pdf
KOM Slides_02D_Velocity and 03C_Acceleration Analysis.pdf
Β 
interactive voting based map matching algorithm
interactive voting based map matching algorithminteractive voting based map matching algorithm
interactive voting based map matching algorithm
Β 
DiseΓ±o y construccion de maqueta en coordendas normales y tangenciales sanche...
DiseΓ±o y construccion de maqueta en coordendas normales y tangenciales sanche...DiseΓ±o y construccion de maqueta en coordendas normales y tangenciales sanche...
DiseΓ±o y construccion de maqueta en coordendas normales y tangenciales sanche...
Β 
672 refrigeration & air conditioning 1st sem
672 refrigeration & air conditioning 1st sem672 refrigeration & air conditioning 1st sem
672 refrigeration & air conditioning 1st sem
Β 
Site Surveying Traversing
Site Surveying TraversingSite Surveying Traversing
Site Surveying Traversing
Β 

More from Kiran Wakchaure

POST PROCESSING IN ADDITIVE MANUFACTURING
POST PROCESSING IN ADDITIVE MANUFACTURINGPOST PROCESSING IN ADDITIVE MANUFACTURING
POST PROCESSING IN ADDITIVE MANUFACTURINGKiran Wakchaure
Β 
Design for Additive Manufacturing - Introduction
Design for Additive Manufacturing - IntroductionDesign for Additive Manufacturing - Introduction
Design for Additive Manufacturing - IntroductionKiran Wakchaure
Β 
Introduction of Additive Manufacturing 1
Introduction of Additive Manufacturing 1Introduction of Additive Manufacturing 1
Introduction of Additive Manufacturing 1Kiran Wakchaure
Β 
Manufacturing Properties of the materials
Manufacturing Properties of the materialsManufacturing Properties of the materials
Manufacturing Properties of the materialsKiran Wakchaure
Β 
Manufacturing Processes- Machining Processes
Manufacturing Processes- Machining ProcessesManufacturing Processes- Machining Processes
Manufacturing Processes- Machining ProcessesKiran Wakchaure
Β 
metal_welding_processes Undergraduate Program
metal_welding_processes Undergraduate Programmetal_welding_processes Undergraduate Program
metal_welding_processes Undergraduate ProgramKiran Wakchaure
Β 
Advanced Manufacturing Processes UG Program
Advanced Manufacturing Processes UG ProgramAdvanced Manufacturing Processes UG Program
Advanced Manufacturing Processes UG ProgramKiran Wakchaure
Β 
6.1 synthsis of the mechanism
6.1 synthsis of the mechanism6.1 synthsis of the mechanism
6.1 synthsis of the mechanismKiran Wakchaure
Β 
5.4 gyroscope effect in ship
5.4 gyroscope effect in ship5.4 gyroscope effect in ship
5.4 gyroscope effect in shipKiran Wakchaure
Β 
5.3 gyroscopic effect on aeroplanes
5.3 gyroscopic effect on aeroplanes5.3 gyroscopic effect on aeroplanes
5.3 gyroscopic effect on aeroplanesKiran Wakchaure
Β 
5.2 gyroscopic effect on bearings
5.2 gyroscopic effect on bearings5.2 gyroscopic effect on bearings
5.2 gyroscopic effect on bearingsKiran Wakchaure
Β 
5.1 gyroscope introduction
5.1 gyroscope introduction  5.1 gyroscope introduction
5.1 gyroscope introduction Kiran Wakchaure
Β 
5.5 gyroscope effect in 4 wheeler vehicle
5.5 gyroscope effect in 4 wheeler vehicle5.5 gyroscope effect in 4 wheeler vehicle
5.5 gyroscope effect in 4 wheeler vehicleKiran Wakchaure
Β 
5.4.2 gyroscope effect in ship pitching
5.4.2 gyroscope effect in ship pitching5.4.2 gyroscope effect in ship pitching
5.4.2 gyroscope effect in ship pitchingKiran Wakchaure
Β 
4.1 CLASSIICATION OF CAM AND FOLLOWER
4.1 CLASSIICATION OF CAM AND FOLLOWER4.1 CLASSIICATION OF CAM AND FOLLOWER
4.1 CLASSIICATION OF CAM AND FOLLOWERKiran Wakchaure
Β 
3.4 TORQUE ANALYSIS IN GEAR TRAINS
3.4 TORQUE ANALYSIS IN GEAR TRAINS3.4 TORQUE ANALYSIS IN GEAR TRAINS
3.4 TORQUE ANALYSIS IN GEAR TRAINSKiran Wakchaure
Β 
3.3 NUMERICAL BASED ON GEAR TRAINS
3.3 NUMERICAL BASED ON GEAR TRAINS3.3 NUMERICAL BASED ON GEAR TRAINS
3.3 NUMERICAL BASED ON GEAR TRAINSKiran Wakchaure
Β 
3.2 KINEMATIC ANALYSIS ON GEAR TRAIN
3.2 KINEMATIC ANALYSIS ON GEAR TRAIN3.2 KINEMATIC ANALYSIS ON GEAR TRAIN
3.2 KINEMATIC ANALYSIS ON GEAR TRAINKiran Wakchaure
Β 
1.6 interference in gears
1.6 interference in gears1.6 interference in gears
1.6 interference in gearsKiran Wakchaure
Β 

More from Kiran Wakchaure (20)

POST PROCESSING IN ADDITIVE MANUFACTURING
POST PROCESSING IN ADDITIVE MANUFACTURINGPOST PROCESSING IN ADDITIVE MANUFACTURING
POST PROCESSING IN ADDITIVE MANUFACTURING
Β 
Design for Additive Manufacturing - Introduction
Design for Additive Manufacturing - IntroductionDesign for Additive Manufacturing - Introduction
Design for Additive Manufacturing - Introduction
Β 
Introduction of Additive Manufacturing 1
Introduction of Additive Manufacturing 1Introduction of Additive Manufacturing 1
Introduction of Additive Manufacturing 1
Β 
Manufacturing Properties of the materials
Manufacturing Properties of the materialsManufacturing Properties of the materials
Manufacturing Properties of the materials
Β 
Manufacturing Processes- Machining Processes
Manufacturing Processes- Machining ProcessesManufacturing Processes- Machining Processes
Manufacturing Processes- Machining Processes
Β 
metal_welding_processes Undergraduate Program
metal_welding_processes Undergraduate Programmetal_welding_processes Undergraduate Program
metal_welding_processes Undergraduate Program
Β 
Advanced Manufacturing Processes UG Program
Advanced Manufacturing Processes UG ProgramAdvanced Manufacturing Processes UG Program
Advanced Manufacturing Processes UG Program
Β 
6.1 synthsis of the mechanism
6.1 synthsis of the mechanism6.1 synthsis of the mechanism
6.1 synthsis of the mechanism
Β 
5.4 gyroscope effect in ship
5.4 gyroscope effect in ship5.4 gyroscope effect in ship
5.4 gyroscope effect in ship
Β 
5.3 gyroscopic effect on aeroplanes
5.3 gyroscopic effect on aeroplanes5.3 gyroscopic effect on aeroplanes
5.3 gyroscopic effect on aeroplanes
Β 
5.2 gyroscopic effect on bearings
5.2 gyroscopic effect on bearings5.2 gyroscopic effect on bearings
5.2 gyroscopic effect on bearings
Β 
5.1 gyroscope introduction
5.1 gyroscope introduction  5.1 gyroscope introduction
5.1 gyroscope introduction
Β 
5.5 gyroscope effect in 4 wheeler vehicle
5.5 gyroscope effect in 4 wheeler vehicle5.5 gyroscope effect in 4 wheeler vehicle
5.5 gyroscope effect in 4 wheeler vehicle
Β 
5.4.2 gyroscope effect in ship pitching
5.4.2 gyroscope effect in ship pitching5.4.2 gyroscope effect in ship pitching
5.4.2 gyroscope effect in ship pitching
Β 
4.1 CLASSIICATION OF CAM AND FOLLOWER
4.1 CLASSIICATION OF CAM AND FOLLOWER4.1 CLASSIICATION OF CAM AND FOLLOWER
4.1 CLASSIICATION OF CAM AND FOLLOWER
Β 
3.4 TORQUE ANALYSIS IN GEAR TRAINS
3.4 TORQUE ANALYSIS IN GEAR TRAINS3.4 TORQUE ANALYSIS IN GEAR TRAINS
3.4 TORQUE ANALYSIS IN GEAR TRAINS
Β 
3.3 NUMERICAL BASED ON GEAR TRAINS
3.3 NUMERICAL BASED ON GEAR TRAINS3.3 NUMERICAL BASED ON GEAR TRAINS
3.3 NUMERICAL BASED ON GEAR TRAINS
Β 
3.2 KINEMATIC ANALYSIS ON GEAR TRAIN
3.2 KINEMATIC ANALYSIS ON GEAR TRAIN3.2 KINEMATIC ANALYSIS ON GEAR TRAIN
3.2 KINEMATIC ANALYSIS ON GEAR TRAIN
Β 
3.1 GEAR TRAINS
3.1 GEAR TRAINS3.1 GEAR TRAINS
3.1 GEAR TRAINS
Β 
1.6 interference in gears
1.6 interference in gears1.6 interference in gears
1.6 interference in gears
Β 

Recently uploaded

πŸ”9953056974πŸ”!!-YOUNG call girls in Rajendra Nagar Escort rvice Shot 2000 nigh...
πŸ”9953056974πŸ”!!-YOUNG call girls in Rajendra Nagar Escort rvice Shot 2000 nigh...πŸ”9953056974πŸ”!!-YOUNG call girls in Rajendra Nagar Escort rvice Shot 2000 nigh...
πŸ”9953056974πŸ”!!-YOUNG call girls in Rajendra Nagar Escort rvice Shot 2000 nigh...9953056974 Low Rate Call Girls In Saket, Delhi NCR
Β 
CCS355 Neural Network & Deep Learning Unit II Notes with Question bank .pdf
CCS355 Neural Network & Deep Learning Unit II Notes with Question bank .pdfCCS355 Neural Network & Deep Learning Unit II Notes with Question bank .pdf
CCS355 Neural Network & Deep Learning Unit II Notes with Question bank .pdfAsst.prof M.Gokilavani
Β 
Oxy acetylene welding presentation note.
Oxy acetylene welding presentation note.Oxy acetylene welding presentation note.
Oxy acetylene welding presentation note.eptoze12
Β 
Introduction to Microprocesso programming and interfacing.pptx
Introduction to Microprocesso programming and interfacing.pptxIntroduction to Microprocesso programming and interfacing.pptx
Introduction to Microprocesso programming and interfacing.pptxvipinkmenon1
Β 
Heart Disease Prediction using machine learning.pptx
Heart Disease Prediction using machine learning.pptxHeart Disease Prediction using machine learning.pptx
Heart Disease Prediction using machine learning.pptxPoojaBan
Β 
Microscopic Analysis of Ceramic Materials.pptx
Microscopic Analysis of Ceramic Materials.pptxMicroscopic Analysis of Ceramic Materials.pptx
Microscopic Analysis of Ceramic Materials.pptxpurnimasatapathy1234
Β 
Study on Air-Water & Water-Water Heat Exchange in a Finned ο»ΏTube Exchanger
Study on Air-Water & Water-Water Heat Exchange in a Finned ο»ΏTube ExchangerStudy on Air-Water & Water-Water Heat Exchange in a Finned ο»ΏTube Exchanger
Study on Air-Water & Water-Water Heat Exchange in a Finned ο»ΏTube ExchangerAnamika Sarkar
Β 
Past, Present and Future of Generative AI
Past, Present and Future of Generative AIPast, Present and Future of Generative AI
Past, Present and Future of Generative AIabhishek36461
Β 
Architect Hassan Khalil Portfolio for 2024
Architect Hassan Khalil Portfolio for 2024Architect Hassan Khalil Portfolio for 2024
Architect Hassan Khalil Portfolio for 2024hassan khalil
Β 
chaitra-1.pptx fake news detection using machine learning
chaitra-1.pptx  fake news detection using machine learningchaitra-1.pptx  fake news detection using machine learning
chaitra-1.pptx fake news detection using machine learningmisbanausheenparvam
Β 
Gfe Mayur Vihar Call Girls Service WhatsApp -> 9999965857 Available 24x7 ^ De...
Gfe Mayur Vihar Call Girls Service WhatsApp -> 9999965857 Available 24x7 ^ De...Gfe Mayur Vihar Call Girls Service WhatsApp -> 9999965857 Available 24x7 ^ De...
Gfe Mayur Vihar Call Girls Service WhatsApp -> 9999965857 Available 24x7 ^ De...srsj9000
Β 
complete construction, environmental and economics information of biomass com...
complete construction, environmental and economics information of biomass com...complete construction, environmental and economics information of biomass com...
complete construction, environmental and economics information of biomass com...asadnawaz62
Β 
Software and Systems Engineering Standards: Verification and Validation of Sy...
Software and Systems Engineering Standards: Verification and Validation of Sy...Software and Systems Engineering Standards: Verification and Validation of Sy...
Software and Systems Engineering Standards: Verification and Validation of Sy...VICTOR MAESTRE RAMIREZ
Β 
Sachpazis Costas: Geotechnical Engineering: A student's Perspective Introduction
Sachpazis Costas: Geotechnical Engineering: A student's Perspective IntroductionSachpazis Costas: Geotechnical Engineering: A student's Perspective Introduction
Sachpazis Costas: Geotechnical Engineering: A student's Perspective IntroductionDr.Costas Sachpazis
Β 
Churning of Butter, Factors affecting .
Churning of Butter, Factors affecting  .Churning of Butter, Factors affecting  .
Churning of Butter, Factors affecting .Satyam Kumar
Β 
main PPT.pptx of girls hostel security using rfid
main PPT.pptx of girls hostel security using rfidmain PPT.pptx of girls hostel security using rfid
main PPT.pptx of girls hostel security using rfidNikhilNagaraju
Β 
Application of Residue Theorem to evaluate real integrations.pptx
Application of Residue Theorem to evaluate real integrations.pptxApplication of Residue Theorem to evaluate real integrations.pptx
Application of Residue Theorem to evaluate real integrations.pptx959SahilShah
Β 

Recently uploaded (20)

πŸ”9953056974πŸ”!!-YOUNG call girls in Rajendra Nagar Escort rvice Shot 2000 nigh...
πŸ”9953056974πŸ”!!-YOUNG call girls in Rajendra Nagar Escort rvice Shot 2000 nigh...πŸ”9953056974πŸ”!!-YOUNG call girls in Rajendra Nagar Escort rvice Shot 2000 nigh...
πŸ”9953056974πŸ”!!-YOUNG call girls in Rajendra Nagar Escort rvice Shot 2000 nigh...
Β 
CCS355 Neural Network & Deep Learning Unit II Notes with Question bank .pdf
CCS355 Neural Network & Deep Learning Unit II Notes with Question bank .pdfCCS355 Neural Network & Deep Learning Unit II Notes with Question bank .pdf
CCS355 Neural Network & Deep Learning Unit II Notes with Question bank .pdf
Β 
Oxy acetylene welding presentation note.
Oxy acetylene welding presentation note.Oxy acetylene welding presentation note.
Oxy acetylene welding presentation note.
Β 
Introduction to Microprocesso programming and interfacing.pptx
Introduction to Microprocesso programming and interfacing.pptxIntroduction to Microprocesso programming and interfacing.pptx
Introduction to Microprocesso programming and interfacing.pptx
Β 
Heart Disease Prediction using machine learning.pptx
Heart Disease Prediction using machine learning.pptxHeart Disease Prediction using machine learning.pptx
Heart Disease Prediction using machine learning.pptx
Β 
Microscopic Analysis of Ceramic Materials.pptx
Microscopic Analysis of Ceramic Materials.pptxMicroscopic Analysis of Ceramic Materials.pptx
Microscopic Analysis of Ceramic Materials.pptx
Β 
Study on Air-Water & Water-Water Heat Exchange in a Finned ο»ΏTube Exchanger
Study on Air-Water & Water-Water Heat Exchange in a Finned ο»ΏTube ExchangerStudy on Air-Water & Water-Water Heat Exchange in a Finned ο»ΏTube Exchanger
Study on Air-Water & Water-Water Heat Exchange in a Finned ο»ΏTube Exchanger
Β 
Call Us -/9953056974- Call Girls In Vikaspuri-/- Delhi NCR
Call Us -/9953056974- Call Girls In Vikaspuri-/- Delhi NCRCall Us -/9953056974- Call Girls In Vikaspuri-/- Delhi NCR
Call Us -/9953056974- Call Girls In Vikaspuri-/- Delhi NCR
Β 
Past, Present and Future of Generative AI
Past, Present and Future of Generative AIPast, Present and Future of Generative AI
Past, Present and Future of Generative AI
Β 
Architect Hassan Khalil Portfolio for 2024
Architect Hassan Khalil Portfolio for 2024Architect Hassan Khalil Portfolio for 2024
Architect Hassan Khalil Portfolio for 2024
Β 
chaitra-1.pptx fake news detection using machine learning
chaitra-1.pptx  fake news detection using machine learningchaitra-1.pptx  fake news detection using machine learning
chaitra-1.pptx fake news detection using machine learning
Β 
Gfe Mayur Vihar Call Girls Service WhatsApp -> 9999965857 Available 24x7 ^ De...
Gfe Mayur Vihar Call Girls Service WhatsApp -> 9999965857 Available 24x7 ^ De...Gfe Mayur Vihar Call Girls Service WhatsApp -> 9999965857 Available 24x7 ^ De...
Gfe Mayur Vihar Call Girls Service WhatsApp -> 9999965857 Available 24x7 ^ De...
Β 
complete construction, environmental and economics information of biomass com...
complete construction, environmental and economics information of biomass com...complete construction, environmental and economics information of biomass com...
complete construction, environmental and economics information of biomass com...
Β 
Software and Systems Engineering Standards: Verification and Validation of Sy...
Software and Systems Engineering Standards: Verification and Validation of Sy...Software and Systems Engineering Standards: Verification and Validation of Sy...
Software and Systems Engineering Standards: Verification and Validation of Sy...
Β 
Sachpazis Costas: Geotechnical Engineering: A student's Perspective Introduction
Sachpazis Costas: Geotechnical Engineering: A student's Perspective IntroductionSachpazis Costas: Geotechnical Engineering: A student's Perspective Introduction
Sachpazis Costas: Geotechnical Engineering: A student's Perspective Introduction
Β 
Design and analysis of solar grass cutter.pdf
Design and analysis of solar grass cutter.pdfDesign and analysis of solar grass cutter.pdf
Design and analysis of solar grass cutter.pdf
Β 
Churning of Butter, Factors affecting .
Churning of Butter, Factors affecting  .Churning of Butter, Factors affecting  .
Churning of Butter, Factors affecting .
Β 
main PPT.pptx of girls hostel security using rfid
main PPT.pptx of girls hostel security using rfidmain PPT.pptx of girls hostel security using rfid
main PPT.pptx of girls hostel security using rfid
Β 
young call girls in Green ParkπŸ” 9953056974 πŸ” escort Service
young call girls in Green ParkπŸ” 9953056974 πŸ” escort Serviceyoung call girls in Green ParkπŸ” 9953056974 πŸ” escort Service
young call girls in Green ParkπŸ” 9953056974 πŸ” escort Service
Β 
Application of Residue Theorem to evaluate real integrations.pptx
Application of Residue Theorem to evaluate real integrations.pptxApplication of Residue Theorem to evaluate real integrations.pptx
Application of Residue Theorem to evaluate real integrations.pptx
Β 

4.5 UNIORM ACCELERATION AND RETARDATION

  • 1. Sanjivani Rural Education Society’s Sanjivani College of Engineering, Kopargaon-423603 ( An Autonomous Institute Affiliated to Savitribai Phule Pune University, Pune) NAAC β€˜A’ Grade Accredited, ISO 9001:2015 Certified Subject :- Theory of Machines II T.E. Mechanical (302043) Unit 4 Cam and Follower 4.5 Uniform Acceleration Retardation-Graphical Method By Prof. K. N. Wakchaure(Asst Professor) Department of Mechanical Engineering Sanjivani College of Engineering (An Autonomous Institute) Kopargaon, Maharashtra Email: wakchaurekiranmech@Sanjivani.org.in Mobile:- +91-7588025393
  • 2. ο‚· S= Stroke length ο‚· 𝝎 = π‘¨π’π’ˆπ’–π’π’‚π’“ π’—π’†π’π’π’„π’Šπ’•π’š 𝒐𝒇 π‘ͺπ’‚π’Ž ο‚· 𝜭 = π‘ͺπ’‚π’Ž π’‚π’π’ˆπ’π’† ο‚· 𝜭 𝑢 = π‘Άπ’–π’•π’”π’•π’“π’π’Œπ’† π’‚π’π’ˆπ’π’† ο‚· 𝜭 𝑫𝑢 = π‘«π’˜π’†π’π’ 𝒂𝒇𝒕𝒆𝒓 π‘Άπ’–π’•π’”π’•π’“π’π’Œπ’† π’‚π’π’ˆπ’π’† ο‚· 𝜭 𝑹 = 𝑹𝒆𝒕𝒖𝒓𝒏𝒔 π‘Ίπ’•π’“π’π’Œπ’† π’‚π’π’ˆπ’π’† ο‚· 𝜭 𝑫𝑹 = π‘«π’˜π’†π’π’ 𝒂𝒇𝒕𝒆𝒓 𝑹𝒆𝒕𝒖𝒓𝒏 π’”π’•π’“π’π’Œπ’† π’‚π’π’ˆπ’π’† Uniform Acceleration Retardation- Graphical Method
  • 3. STEP 1. Draw horizontal line of 180mm Which denotes cam angle of 360˚ O Uniform Acceleration Retardation- Graphical Method
  • 4. STEP 2. Draw vertical line length= stroke length Uniform Acceleration Retardation- Graphical Method
  • 5. S STEP 2. Draw vertical line length= stroke length Vertical line denotes Displacement of Follower Uniform Acceleration Retardation- Graphical Method
  • 6. S STEP 2. Draw vertical line length= stroke length Cam Angle 𝛳 Uniform Acceleration Retardation- Graphical Method
  • 7. 𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ S Cam Angle 𝛳 STEP 3. Divide Horizontal line into 4 parts Take π›³π‘œ=60mm, 𝛳 π·π‘œ=20mm, π›³π‘œ=60mm, π›³π‘œ=40mm, Uniform Acceleration Retardation- Graphical Method
  • 8. 𝛳 𝑅=90˚ 𝛳 𝐷𝑅=120Λšπ›³ π·π‘œ=30Λšπ›³π‘œ=120˚ S STEP 3. Divide Horizontal line into 4 parts Take π›³π‘œ=60mm, 𝛳 π·π‘œ=20mm, π›³π‘œ=60mm, π›³π‘œ=40mm, Uniform Acceleration Retardation- Graphical Method
  • 9. Uniform Acceleration Retardation- Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ S Cam Angle 𝛳 STEP 4. Divide outstroke and return stroke into 6 equal parts and draw vertical line through thee points. Take π›³π‘œ=60mm, 𝛳 π·π‘œ=20mm, π›³π‘œ=60mm, π›³π‘œ=40mm,
  • 10. Uniform Acceleration Retardation- Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ S Cam Angle 𝛳 STEP 5. Take middle part of outstroke angle i.e segment 3 and divide it into 6 equal parts.
  • 11. Uniform Acceleration Retardation- Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ S Cam Angle 𝛳 STEP 6. Give the numbering to the points.
  • 12. Uniform Acceleration Retardation- Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ S Cam Angle 𝛳 STEP 7. Draw one diagonal line from bottom left corner of outstroke angle.
  • 13. Uniform Acceleration Retardation- Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ S Cam Angle 𝛳 STEP 7. Join first three points from bottom left corner of outstroke angle.
  • 14. Uniform Acceleration Retardation- Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ S Cam Angle 𝛳 STEP 8. Join next three points from top right corner of outstroke angle.
  • 15. Uniform Acceleration Retardation- Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ S Cam Angle 𝛳 STEP 9. give the proper notation to the points marked .
  • 16. Uniform Acceleration Retardation- Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ S Cam Angle 𝛳 STEP 10. Draw curve through points a-b-c-d-e-f.
  • 17. Uniform Acceleration Retardation- Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ S Cam Angle 𝛳 STEP 11. join points f-g(Dwell)
  • 18. Uniform Acceleration Retardation- Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ S Cam Angle 𝛳 STEP 12 Again select midsection of return stroke angle (segment 10) and divide it into 6 equal parts.(Give proper notation)
  • 19. Uniform Acceleration Retardation- Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ S Cam Angle 𝛳 STEP 13 Joint the segments of line 10 from top left corner and bottom left corner of return stroke.
  • 20. Uniform Acceleration Retardation- Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ S Cam Angle 𝛳 STEP 13 mark the intersection point. And give the proper notation.
  • 21. Uniform Acceleration Retardation- Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 π·π‘œπ›³π‘œ S Cam Angle 𝛳 STEP 13 Draw a curve though the points.
  • 22. 22Subject :- Theory of Machines II