August T24/TML052/EE/20150812 2015

Engineering Mechanics - 2
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
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.
Q.1 Describe equation of simple Harmonic motion.
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.
Fig A
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.
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.
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.
Fig. B
Q.5 Explain the drawing rate lines and traces of PCB.
Q.5 a) Explain conservative & non-conservative system.
b) Derive power- force relation.
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.
Fig. C
Q.6 Derive & explain center of mass of a system of particles.
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.
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