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(v)
1. Introduction ...1–7
1. Definition. 2. Sub-divisions of Theory of Machines.
3. Fundamental Units. 4. Derived Units. ...
(vi)
4. Simple Harmonic Motion ... 72–93
1. Introduction. 2. Velocity and Acceleration of a
Particle Moving with Simple Ha...
(vii)
8. Acceleration in Mechanisms ...174–231
1. Introduction. 2. Acceleration Diagram for a Link.
3. Acceleration of a P...
(viii)
Drives. 7. Velocity Ratio of Belt Drive. 8. Velocity
Ratio of a Compound Belt Drive. 9. Slip of Belt.
10. Creep of ...
(ix)
5. Design of Spur Gears. 6. Reverted Gear Train.
7. Epicyclic Gear Train. 8. Velocity Ratio of Epicyclic
Gear Train. ...
(x)
17. Steam Engine Valves and Reversing Gears ...612–652
1. Introduction. 2. D-slide Valve. 3. Piston Slide
Valve. 4. Re...
(xi)
20. Cams ...774–832
1. Introduction. 2. Classification of Followers.
3. Classification of Cams. 4. Terms used in Radi...
(xii)
Supported Shaft. 10. Natural Frequency of Free
Transverse Vibrations of a Shaft Fixed at Both Ends
and Carrying a Un...
Chapter 1 : Introduction l 1
1
Introduction
1Features
1. Definition.
2. Sub-divisions of Theory of
Machines.
3. Fundamenta...
2 l Theory of Machines
1.3.1.3.1.3.1.3.1.3. Fundamental UnitsFundamental UnitsFundamental UnitsFundamental UnitsFundamenta...
Chapter 1 : Introduction l 3
In this system of units, the fundamental units are metre (m), kilogram (kg) and second (s)
re...
4 l Theory of Machines
instants, at which the sun crosses a meridian on two consecutive days. This value varies slightly
t...
Chapter 1 : Introduction l 5
1.14. Rules for S.I. Units
The eleventh General Conference of Weights and Measures recommende...
6 l Theory of Machines
1.15. Force
It is an important factor in the field of Engineering science, which may be defined as ...
Chapter 1 : Introduction l 7
possessing a starting point and a terminal point at which it carries an arrow head. This vect...
8 l Theory of Machines
2.1. Introduction
We have discussed in the previous Chapter, that the
subject of Theory of Machines...
Chapter 2 : Kinematics of Motion l 9
about a fixed shaft or a shaft rotating about its
own axis, then the motion is said t...
10 l Theory of Machines
2.8.2.8.2.8.2.8.2.8. Equations of Linear MotionEquations of Linear MotionEquations of Linear Motio...
Chapter 2 : Kinematics of Motion l 11
2. When the body moves with variable velocity. When the body moves with variable vel...
12 l Theory of Machines
Let u = Initial velocity of a moving body, and
v = Final velocity of a moving body after time t.
T...
Chapter 2 : Kinematics of Motion l 13
Integrating both sides,
2 2
1 1
.
v t
v t
dv a dt=∫ ∫ or
2
1
2 1 .− =∫
t
t
v v a dt
...
14 l Theory of Machines
Now consider the motion of the car during the application of brakes for brining it to rest in
5 se...
Chapter 2 : Kinematics of Motion l 15
Substituting the value of C2 in equation (iii),
5 4 2
5
2 4
20 4 2
= − + + +
t t t
s...
16 l Theory of Machines
Example 2.4. The acceleration (a) of a slider block and its displacement (s) are related by
the ex...
Chapter 2 : Kinematics of Motion l 17
Example 2.5. The cutting stroke of a planing
machine is 500 mm and it is completed i...
18 l Theory of Machines
Fig. 2.5. If this line moves from OB to OC, through an angle δθ during
a short interval of time δt...
Chapter 2 : Kinematics of Motion l 19
Fig. 2.6. Motion of a body
along a circular path.
t = Time in seconds,
θ = Angular d...
20 l Theory of Machines
Number of revolutions made by the wheel
We know that the angular distance moved by the wheel durin...
Chapter 2 : Kinematics of Motion l 21
acceleration or normal acceleration. It is also called radial or centripetal acceler...
22 l Theory of Machines
Tangential acceleration after 5 seconds
Let α = Constant angular acceleration.
We know that ω = ω0...
Chapter 2 : Kinematics of Motion l 23
OBJECTIVE TYPE QUESTIONS
1. The unit of linear acceleration is
(a) kg-m (b) m/s (c) ...
24 Theory of Machines
24
Kinetics of
Motion
3Features
1. Introduction.
2. Newton's Laws of Motion.
3. Mass and Weight.
4. ...
Chapter 3 : Kinetics of Motion 25
2. Newton’s Second Law of Motion. It states,
“The rate of change of momentum is directly...
26 Theory of Machines
Now, initial momentum = m.u
and final momentum = m.v
∴ Change of momentum = m.v – m.u
and rate of ch...
Chapter 3 : Kinetics of Motion l 27
of force, whereas newton is the absolute or scientific or S.I. unit of force. It is th...
28 l Theory of Machines
This force acts radially inwards and is essential for circular motion.
We have discussed above tha...
Chapter 3 : Kinetics of Motion l 29
3. The moment of inertia of a solid cylinder of radius r and length l, about the longi...
30 l Theory of Machines
The unit of torque (T ) in S.I. units is N-m when I is in kg-m2 and α in rad/s2.
3.13. Work
Whenev...
Chapter 3 : Kinetics of Motion l 31
* We know that, v2
– u2
= 2 a.s
Since u = 0 because the body starts from rest, therefo...
32 l Theory of Machines
It may be noted that when m is in kg and v in m/s, then kinetic energy will be in N-m as
discussed...
Chapter 3 : Kinetics of Motion l 33
Fig. 3.5
Fig. 3.5 shows the acceleration-time and velocity-time graph for the cage.
1....
34 l Theory of Machines
Since the mass of rope, m = 3 kg/m, therefore total mass of the rope for 100 metres,
mR = m.s = 3 ...
Chapter 3 : Kinetics of Motion l 35
Fig. 3.6
Since the power of motor is 4000 W, therefore energy supplied by motor in 1 s...
36 l Theory of Machines
= Component of the weight down the slope
+ *Inertia force + Frictional resistance
1
. . .
20
m g m...
Chapter 3 : Kinetics of Motion l 37
Example 3.5. A road roller has a total
mass of 12 tonnes. The front roller has a mass ...
38 l Theory of Machines
3. Braking force required to bring the roller to rest
Let F = Braking force required to bring the ...
Chapter 3 : Kinetics of Motion l 39
Now when t = 0,
dx
dt
= 0, therefore from equation (ii), b = 0
Substituting the values...
40 l Theory of Machines
Momentum before impact = Momentum after impact
i.e. 1 1 2 2 1 2( )m v m v m m v± = +
Notes : 1. Th...
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Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
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Theory of machines khurmi
Theory of machines khurmi
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Theory of machines khurmi
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Theory of machines khurmi
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Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
Theory of machines khurmi
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Theory of machines khurmi

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