**Engineering Mechanics Question paper May 2014** – The question paper for engineering mechanics for mumbai university first year F.E semester 1 students.

### Engineering Mechanics Question paper May 2014

1 (a) Two concurrent forces P and Q acts at O such that resultant acts along x-axis. Determine the magnitude of Q and hence the resultant.

1 (b) A cylinder with 1500 N weight is resting in an unsymmetrical smooth groove as shown in figure. Determine the reactions at the point of contacts.

2 (a) A system of forces acting on a bell crank is as shown. Determine the magnitude, direction and the point of application of the resultant w.r.t. ‘O’

2 (b) Two cylinder are kept in a channel as shown in figure. Determine the reactions at all the contact points A,B,C and D. Assume all surfaces smooth.

3 (a) Determine the Centre of gravity of the shadded area.

3 (c) A 30N block is released from rest. It slides drown a rough incline having coefficient of friction 0.25. determine the maximum compression of the spring.

4 (a) Find the support reaction at B and the load P, for the beam shown in figure if the reaction at support A is zero.

4 (c) In the mechanism shown the angular velocity of link AB is 5 rad/sec anticlockwise. At the instant shown, determine the angular velocity of link BC velocity of piston C.

5 (a) Determine the forces in members BC, CE and DE by method of sections and all other members by method of joints. Give the result in a table

5 (b) Due to slipping points A and B on the rim of the disk have the velocity as shown in figure. Determine the velocity of the centre point C and point D on the rim at this instant. Take radius of disk 0.24m.

5 (c) A particle moves in a straight line with a velocity-time diagrams shown in figure. If S=-25m at t=0, draw displacement time and accelerator time diagrams for 0 to 24 seconds.

6 (a) The mass of A is 23kg and mass of B is 36kg. The coefficient of friction are 0.4 between A and B, and 0.2 between ground and block B. Assume smooth drum. Determine the maximum mass of M at impending motion

^{2}/3 with a constant speed of 8m/s. What are the x and y component of the velocities when x=3. What is the acceleration of the point when x=3.

6 (d) A two step pulley support two weights A=40N and B=60N as shown. Find the downward acceleration of A if radius of bigger pulley is double that of the smaller one. Neglect friction and inertia of pulley.

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