MORE IN Engineering Mechanics
AU First Year Engineering (Semester 2)
Engineering Mechanics
December 2013
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

1 Explain the principle of transmissibility.
2 M

2 State the necessary and sufficient conditions for equilibrium of a particle in two dimensions.
2 M

3 State Varignon's theorem of moments.
2 M

4 What is meant by a force-couple system?
2 M

5 Define centroid and centre of gravity of an area.
2 M

6 What do you mean by polar moment of inertia?
2 M

7 Write the working energy equation of particles.
2 M

8 State impulse momentum principle
2 M

9 Give the causes of rolling resistance.
2 M

10 What is general plane motion?
2 M

11 (a) Determine the magnitude and direction of force F shown in fig. 1 so that particle 'A' is in equilibrium.
8 M
11 (b) Three cables are used to support the 10 kg cylinder show in Fig. 2. Determine the force developed in each cable for equilibrium.
8 M

12 (a) Determine the reaction at the pin at A and in the cable shown in Fig. 3 required to support the 300 kg crate. Neglect the weight of the connecting rod AB.
8 M
12 (b) Compute the moment of the force P=1500 N and of the force Q=1200 N shown in Fig. 4 about points A,B and C
8 M

13 (a) Determine the polar moment of inertia of the section shown in Fig. 5
8 M
13 (b) Determine the principal moment of inertia of the section shown in Fig 6.
8 M

14 (a) The 50 kg block shown in Fig 7 rests on a horizontal plane for which the coefficient of kinetic friction is 0.3. If the block is pulled by a 350 N force as shown, determine the velocity of the block after it has moved 65 m starting from rest. Use the principle of work and energy.
8 M
14 (b) The 50 kg block shown in Fig 8 is originally at rest on the smooth horizontal surface. Determine the time needed for the block to attain a velocity of 30 m/s if a force of 300 (N) is acting on the block as shown. Use principle of impulse and momentum.
8 M

15 (a) Calculate the static coefficient of friction ?s between the block shown in Fig. 9 having a mass of 75 kg and the surface. Also find the magnitude and direction of the friction force if the force P applied is inclined at 45° to the horizontal and ?s=0.30
8 M
15 (b) A body rotates according to the relation ?=at4 + bt2+ ct where a,b and c are constants. Determine the value of the constants a, b and c if the angular coordinate is 20 rad, angular velocity is 20 rad/s and angular acceleration is 16 rad/s2 at time t=2s.
8 M

More question papers from Engineering Mechanics