PART A
1.
2.
3.
4.
5.
6.
7.
The units of moment of inertia of an area are
A)kg-m²
B) m⁴
C) kg/m²
D) m³
The velocity of a body on reaching the ground from a height h, is
A)2.√(gh)
B) √(2gh)
C) √(gh)
D) 2g.√h
D’Alembert’s principle is concerned with equilibrium of ………………
A) rigid bodies
B) static bodies
C) dynamic bodies
D) elastic bodies
As per work-energy principle, work done is ……………….
A) potential energy – kinetic energy
B) kinetic energy – potential energy
C) final kinetic energy – initial kinetic energy
D) initial kinetic energy – final kinetic energy
The units of impulse is
A)N/s
B) N-s
C) m²/s
D) m³/s
Newton’s second law expresses the relationship between
A)Force and Mass
B) Force, Mass and acceleration
C) Force and accelaration
D) Displacement and Accelaration
If a particle starts from a point and then returns to same point, then the average speed is
a) Zero
c) constant
8.
9.
10.
11.
b) not equal to zero
d) Not constant
The friction experienced by the body during rest is called as
a) static friction
b) dynamic friction
c) sliding friction
d) rolling friction
The capacity of doing the work is known as energy, the energy may be of
a) potential energy
b) kinetic energy
c) strain energy
d) all of the above
The path described by the projectile is called as
a) Range
b) Height
c) Trajectory
d) Projectile
The value of co-efficient of friction lies
a) less than 1
b) Greater than 1
c) depends on type of friction
d) equal to 1
12.
The coefficient of restitution for elastic bodies is
a) 1
c) Less than one
b) 0 to 1
d) Greater than one
13.
Two balls of equal mass and of perfectly elastic material are lying on the floor. One of the ball with
velocity v is made to struck the second ball. Both the balls after impact will move with a velocity
a) v
b) v/2
d) v/8
c) v/4
14.
The unit of angular acceleration is
a) N-m
c) m/s2
15.
b) m/s
d) rad/s2
If two bodies having masses m1 and m2 (m1>m2) have equal kinetic energies, the momentum of body
having mass m1 is __________ the momentum of body having mass m2.
a) Equal to
c) Greater than
b) Less than
d) None of the above
PART B
16.
A train is running at a uniform speed of 120km/hour. What is the maximum acceleration which will be
induced while the train passes through a curve with radius of Curvature of 2500m?
17.
State Kinematics Force.
18.
A train is running at a uniform speed of 120km/hour. What is the maximum acceleration which will be
induced while the train passes through a curve with radius of Curvature of 2500m?
19.
State Kinematics Force.
20..
State D Alemberts principle
21.
A body is projected with an angle 530 with the velocity 5 m/s. Find its range.
22.
Distinguish between kinematics and Kinetics.
23.
State the principle of work and energy.
24.
Define the term Co-efficient of friction.
25.
State the law of conservation of momentum.
26.
Differentiate between kinematics and kinetics.
27.
Define Range of a projectile.
28.
Analyse the motion of a particle thrown horizontally from a certain height?
29.
Define coefficient of restitution.
PART C
30.
Two guns are pointed at each other, one upward at an angle of elevation of 30º and the other at the same angle
of depression, the point of projections being 30 metres apart. If the guns are shot with velocities of 350m/s
upwards and 300m/s downwards respectively, find when and where they will meet. Take g=9.8m/s2 .
31.
Two blocks A and B of weight 120N and 100N are hung to the ends of a rope, Which is passing over an ideal
pulley as shown in figure 3. The velocity of the system is increased from 1m/s to 2m/s. How much the
distance, these blocks will move? Also calculate the tension in the string?. Use work-energy Method.
Figure -3
32.
i)A car enters a curved portion of a road, in the form of a quarter of a circle, of radius 100m at 18kmph and
leaves at 36kmph. It the car is travelling with a constant tangential acceleration, find the magnitude and
direction of acceleration when the car (i) enters and (ii) leaves the curved portion of road. (8)
ii)The speed of a particle is given by V=2t3+5t2. What distance does it travel while its speed increases from
7m/s to 99m/s. (6)
33.
i) A body of mass 4kg is at rest. What force should be applied to move it to a distance of 12m in 4sec? (6)
ii)The position of the particle is given by the relation S=9t2 -22.5t+60, where S is expressed in meters and t in
seconds. Determine (i) the time at which the velocity will be zero (ii) the position and distance traveled by the
particle at that time (iii) the acceleration of the particle at that time and (iv) the distance traveled by the
particle from t = 5s to t = 7s. (8)
34.
A projectile is thrown with a velocity of 5 m/s at an elevation of 600 to the horizontal. Find the velocity of
another projectile thrown at an elevation of 450 which will have i). Equal horizontal range, ii). Equal
maximum height and 3. Equal time of flight with the first.
35.
Two bodies of weight 20N and 10N are connected to the two ends of light inextensible string, passing over a
smooth pulley. The weight of 20N is placed on a horizontal surface which the weight of 10N is hanging free
in air as shown in fig 3. The horizontal surface is a rough one, having co efficient between the weight 20N
and the plane surface equal to 0.3 using Newton’s second law of motion. Determine 1. Acceleration of the
system,
2. The tension in the string.
Figure -3
37.
A bus beginning to move with an acceleration of 0.3m/s2. A man who is 12m behind the bus starts running at
3m/s to catch the bus. After how many seconds will the man able to catch the bus. (7)
39.
Two blocks of weight 150N and 50N are connected by a string and passing over a frictionless pulley as
shown in fig. Find the acceleration of blocks A and B and the tension in the string.
40.
A motor A is travelling from west to east at a constant speed of 18km/hr. when the motor A cross northsouth road as shown in fig, a lorry B starts from rest, 40m north of the intersection and moves with a
constant acceleration of 2m/s2 . Find the position, velocity and acceleration of lorry relative to motor A, 4
seconds after the observation.
41.
A Bullet of mass 30g is moving horizontally with a velocity of 450m/s and strikes a wooden block of weight
45N, resting on a rough horizontal floor. The bullet is embedded into the block and then both block and
bullet move as a single unit. Calculate the distance moved using (i) D’Alembert’s principle (ii) Work- energy
method. Take: µ=0.45.
42.
Two bodies one of which is 200N with a velocity of 10m/s and the other of 100N with a velocity of 10m/s
move towards each other and impinges centrally. Find (i) The velocity of each body after impact (ii) The loss
in kinetic energy due to impact. if the co-efficient of restitution is 0.6.
43.
A stone is dropped from the top of a tower, 15m high. At the same time, an another stone is thrown
upwards from the foot of the tower. Both the stones meet at a height of 5m. Hence, find the velocity with
which the second stone is thrown upward?
44.
Two blocks A and B of weight 100N and 200N respectively are initially at rest on a 30 o inclined plane as
shown in figure. The distance between the blocks is 6m. The coefficient of friction between the block A and
the plane is 0.25 and that between the block B and the plane is 0.15. if they released at the same time, in
what time the upper block B reaches block A.
45.
Two bodies one of mass 30kg, moves with a velocity of 9m/s strikes on an another body of mass 15kg,
moving in the opposite direction with the velocity of 9m/s centrally. Find the velocity of each body after
impact, if the coefficient of restitution is 0.8.
46.
A 500N block is in contact with a level plane, the coefficient of friction between two contact surfaces being
0.25. if the block is acted upon by a horizontal force of 1300N, what time will elapse before the block raches
a velocity of 24m/s.
47.
A motor car is uniformly accelerated from 30km/hr to 45km/hr over a distance of 300m. if the wheels are
1m diameter, find the angular acceleration of the wheels.
24. Water drips from a tap fitted to a barrel at the rate of four drops per second as shown in Figure 4. Find the
vertical separation between two consecutive drops after the lower drops has attained a velocity of 3m/s.
Figure- 4