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This document contains instructions and questions for an engineering mechanics exam. It includes 5 questions related to dynamics concepts like friction, forces, velocities, linear and angular momentum. The first question asks students to calculate the angle a ramp must make with the horizontal for blocks to transfer between conveyor belts without slipping. The second asks for the velocity of a collar sliding on a rod as it passes different points. The third asks for the velocity of a collar striking the end of a rod when acted on by a constant force. The fourth asks students to determine accelerations, tensions in cords and blocks for a system of connected blocks and cords released from rest. The fifth asks students to calculate the linear and angular momentum and kinetic energy of a moving sphere.
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![JIMMA UNIVERSITY, JU
JIMMA INSTITUTE OF TECHNOLOGY, JiT
SCHOOL OF MECHANICAL ENGINEERING
1 | P a g e
Re- exam
Course Name: Engineering Mechanics II (Dynamics) Course Code: MEng 1062 Date Nov, 25, 2014
Max. Marks: [50 %] Time Allowed:- 3hrs
Instructions:
o Exam is closed book and using cell phone as calculator or referring to your handout is strictly
forbidden.
o Neat procedure of your work and exact numerical answers attracts marks..
1. In the design of a conveyor-belt system, small metal blocks are discharged with a
velocity of 0.4m/s onto a ramp by the upper conveyer belt shown. If the coefficient of
kinetic friction between the blocks and the ramp is 0.30, calculate the angle θ which
the ramp must make with the horizontal so that the blocks will transfer without
slipping to the lower conveyor belt moving at the speed of 0.14m/s. [10% ]
.
2. The 10-kg collar slides on the smooth vertical rod and has a velocity v1 = 2 m/s in
position A where each spring is stretched 0.1 m. Calculate the velocity v2 of the collar
as it passes point B.[10% ]
Figure 1
Figure 2](https://image.slidesharecdn.com/re-exam-150127030751-conversion-gate01/85/Re-exam-1-320.jpg)
![2 | P a g e
3. The 0.5-kg collar C starts from rest at A and slides with negligible friction on the
fixed rod in the vertical plane. Determine the velocity v with which the collar strikes
end B when acted upon by the 5-N force, which is constant in direction. Neglect the
small dimensions of the collar.
4. The system is released from rest with the cable taut. For block A the friction coefficients are µ 𝑠 =0.2
and µ 𝑘 =0.15. Determine (a) the acceleration of each block (b) tension in the cord and (c) the tension
in each block. [10% ]
5. The 3 kg sphere moves in the X-Y plane and it has the indicated velocity (v) of 6 m/s at a particular
instant. Determine its, (a) Linear momentum, (b) Angular momentum about point O using vector
method and (c) Kinetic energy. [10% ]
Figure 4
Figure 3
Figure 5](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
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2) Sample questions are multiple choice, short answer, and long answer. Questions range from defining terms to calculating reactions, slopes, moments, and analyzing frames.
3) Solutions are not provided, only the questions and instructions for answering are given to help students prepare for the exam.
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Presentation Moment Distribution Method
The moment distribution method is a structural analysis method for statically indeterminate beams and frames developed by Hardy Cross. It was published in 1930 in an ASCE journal.[1] The method only accounts for flexural effects and ignores axial and shear effects. From the 1930s until computers began to be widely used in the design and analysis of structures, the moment distribution method was the most widely practiced method.
Laws of motion
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Moment area theorem presentation
1) The document discusses using the moment area method to solve for the deflection of a statically indeterminate beam.
2) It provides the theorems of the moment area method and outlines the process of drawing the M/EI diagram, elastic curve, and using the theorems to calculate slope change and vertical deviation to determine deflection.
3) As an example, it then applies this method to find the maximum downward deflection of a small aluminum beam due to an applied force, showing the steps of determining the redundant reaction, drawing the moment diagram, M/EI diagram, elastic curve, and using the theorems to locate and calculate the maximum deflection.
Moment area theorem
1) The document discusses using the moment area method to solve for the deflection of a statically indeterminate beam.
2) It provides the theorems of the moment area method and outlines the process of drawing the M/EI diagram, elastic curve, and using the theorems to calculate slope change and vertical deviation.
3) As an example, it then applies the method to find the maximum downward deflection of a small aluminum beam with an applied force of 100N, showing the steps of determining the redundant reaction, drawing the diagrams, and using the theorems.
Math cad vm-001 stress-strain transformations
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2) Distinguishing between damped and forced oscillations.
3) Relating kinetic energy, potential energy, restoring force, and displacement for oscillating systems.
4) Applying concepts of SHM to real world examples like floating blocks, swinging pendulums, and vibrating plates.
Sa 1,moment area theorem
This document discusses solving statically indeterminate structures using the moment area method. It begins with an introduction to the moment area theorem developed by Otto Mohr and Charles Greene. The scope of the study is described as applicable to cantilever beams, simply supported beams with symmetrical loading, and beams fixed at both ends. The assumptions and two theorems of the moment area method are outlined. Theorem 1 relates the change in slope between two points to the area under the bending moment diagram between those points. Theorem 2 relates the vertical deviation of a tangent at one point from another to the moment of the area under the bending moment diagram between the points. An example problem is presented to demonstrate solving for the maximum downward deflection of a beam
The Research of Induced Current in Coils When the Process of Motion of Magnet...
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Belt friction lecture_new
This document discusses belt friction theory and problems involving belts and pulleys. It begins by relating the tensions in a belt (T1 and T2) when the belt is about to slide to the right using an equation involving the coefficient of friction and angles of contact. Several example problems are then presented. Problem 1 involves a cord wrapped around two capstans and a barrel, problem 2 involves cables passing over three pulleys to support two blocks, and problem 3 calculates the maximum torque that can be exerted on a pulley by a belt drive system given the tension and friction coefficients. Problem 4 involves calculating the force P exerted on the end of a lever for a differential band brake system rotating clockwise and counterclockwise.
Particles moving in a circular path
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nothing
This document contains physics examination papers from 2008-2012 administered by the Central Board of Secondary Education (CBSE) in Delhi, India. It lists the contents which include CBSE examination papers from Delhi and All India in those years, as well as foreign papers. A sample paper from the 2008 Delhi exam is then provided, consisting of 30 multiple choice questions testing concepts in physics.
Basic civil mechanical Engineering lab manual according to JNTU annathapur sy...
The document provides details about an experiment to determine the modulus of elasticity of a cantilever beam material using electrical resistance strain gauges. The experiment involves measuring the strain in the beam through resistance strain gauges connected to a digital strain indicator. The strain gauges measure the change in electrical resistance when the beam is loaded, allowing calculation of the modulus of elasticity from the recorded strains. Precautions such as accurate dimension measurement and resistance readings are required to obtain valid results.
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Re exam
- 1. JIMMA UNIVERSITY, JU JIMMA INSTITUTE OF TECHNOLOGY, JiT SCHOOL OF MECHANICAL ENGINEERING 1 | P a g e Re- exam Course Name: Engineering Mechanics II (Dynamics) Course Code: MEng 1062 Date Nov, 25, 2014 Max. Marks: [50 %] Time Allowed:- 3hrs Instructions: o Exam is closed book and using cell phone as calculator or referring to your handout is strictly forbidden. o Neat procedure of your work and exact numerical answers attracts marks.. 1. In the design of a conveyor-belt system, small metal blocks are discharged with a velocity of 0.4m/s onto a ramp by the upper conveyer belt shown. If the coefficient of kinetic friction between the blocks and the ramp is 0.30, calculate the angle θ which the ramp must make with the horizontal so that the blocks will transfer without slipping to the lower conveyor belt moving at the speed of 0.14m/s. [10% ] . 2. The 10-kg collar slides on the smooth vertical rod and has a velocity v1 = 2 m/s in position A where each spring is stretched 0.1 m. Calculate the velocity v2 of the collar as it passes point B.[10% ] Figure 1 Figure 2
- 2. 2 | P a g e 3. The 0.5-kg collar C starts from rest at A and slides with negligible friction on the fixed rod in the vertical plane. Determine the velocity v with which the collar strikes end B when acted upon by the 5-N force, which is constant in direction. Neglect the small dimensions of the collar. 4. The system is released from rest with the cable taut. For block A the friction coefficients are µ 𝑠 =0.2 and µ 𝑘 =0.15. Determine (a) the acceleration of each block (b) tension in the cord and (c) the tension in each block. [10% ] 5. The 3 kg sphere moves in the X-Y plane and it has the indicated velocity (v) of 6 m/s at a particular instant. Determine its, (a) Linear momentum, (b) Angular momentum about point O using vector method and (c) Kinetic energy. [10% ] Figure 4 Figure 3 Figure 5