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August T24/TML052/EE/20150812 2015 Engineering Mechanics - 2 Instructions: MARKS-80 Time: 3 Hrs 1. All questions are compulsory. 2. “Long Answer type Question (LAQ)” is a supply type question of 15 marks which required a typical answer of about 60-80 lines in bout 32-40 minutes. 3. “Sort Answer type Question (SAQ)” is a supply type question of 5 marks which required a typical answer of about 15-20 lines in bout 08-10 minutes. 4. Figures to the right indicate marks allotted to the questions. 5. Assume suitable data if necessary 6. Use a nonprogrammable type of scientific calculator is allowed Marks SECTION-A Q.1 A body in motion consist of particles with acceleration defined b the relation a=P-8t2, where P is a constant. A particle starts from rest from x=8m at t=0. If the velocity of body is 40 m/s when t=2s, calculate the total distance traveled by the particle when t=10s. 15 OR Q.1 Describe equation of simple Harmonic motion. 15 Q.2 A slider of mass m is set free to slide from point P to point S, as shown in fig. If the complete track is smooth, find the distance covered by the slider along the plane after passing the point S before it comes to rest. 15 Fig A OR Q.2 An overhead crane carries a material from one place to another in the horizontal direction. The container in which the material is transported hangs 20 m below the crane. Find the maximum speed of the crane if the maximum distance covered by it due to its inertia is 5m. 15 Q.3 The acceleration a of a particles varies with time as given by the expression a=kt2, where t is the time taken by the particle to cover a distance of x m. At initial position, x=24m, & t=6s, x=96m & velocity v=18m/s. Derive the expression of x & v as a function of t. 5 Q.4 The motion of a plunger & a shaft in the horizontal direction is resisted by a disk moving in an oil bath, as shown in the fig. When x=0 at t=0, the velocity of the plunger is V0. Determine x as a function of time & derive the expression relating v &x. 5 Fig. B SECTION-B Q.5 Explain the drawing rate lines and traces of PCB. 15 OR Q.5 a) Explain conservative & non-conservative system. b) Derive power- force relation. 10 05 Q.6 In the position shown in the fig. block B is just in contact with the spring. Block An impacts block B with a velocity of 2.5 m/s. The mass of block A is 2 kg, the mass of block B is 3 kg & stiffness of the spring k=200 N.M. a) Find the velocity of block A after the impact & the maximum distance through which the spring is compressed if the impact is elastic & the plane surface is frictionless. b) Do the same as in part(a) if the impact is assumed as plastic, c) Do the same as in part(a) if e=0.9 & µ =0.1. 15 . Fig. C OR Q.6 Derive & explain center of mass of a system of particles. 15 Q.7 What is the potential energy of a cyclist if he rides his cycle on an inclined plane of height 10m? Assume that the total mass of the cyclist & the cycle is 80kg. 5 Q.8 A 40 g bullet fires with a velocity 450 m/s into a 2.5kg block of wood, which is at rest, Find the distance which the block will move. Computer Generated Random Question Paper dated: 21-07-2015 11:30:34 5 ***BEST OF LUCK***