Q.1

A marble ball is rolled on a smooth floor of a room to hit a wall. If the time taken by the ball in returning to the point of projection is twice the time taken in reaching the wall, the coefficient of restitution between the ball and the wall, is

  • 0.25
  • 0.50
  • 0.75
  • 1.0
Q.2

The shape of a suspended cable under its own weight, is

  • parabolic
  • circular
  • catenary
  • elliptical.
Q.3

The resultant of two forces acting at right angles is 34 kg and acting atiskg. The forces are

  • 1 kg and 4 kg
  • 2 kg and 3 kg
  • 3 kg and 5 kg
  • 3 kg and 5 kg
  • 3 kg and 5 kg.
Q.4

A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,

  • 5 N
  • 10 N
  • 15 N
  • 25 N
  • None of these.
Q.5

The intrinsic equation of catenary is

  • S = c tan ψ
  • y = c cosh x/c
  • y = c cosh ψ
  • y = c sinh ψ.
Q.6

The units of inertia of mass, are

  • kg/m
  • kg/m2
  • m4
  • m3
  • kg-m2.
Q.7

According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centres lie on

  • a point
  • a straight line
  • two straight lines
  • a triangle.
Q.8

If a spherical body is symmetrical about its perpendicular axes, the moment of inertia of the body about an axis passing through its centre of gravity as given by Routh's rule is obtained by dividing the product of the mass and the sum of the squares of two semi-axes by n where n is

  • 2
  • 3
  • 4
  • 5.
Q.9

A ball is dropped from a height of 2.m on a smooth floor and rises to a height of 1.m after the bounce. The coefficient of restitution between the ball and the floor is

  • 0.33
  • 0.44
  • 0.57
  • 0.67
Q.10

Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down

  • rubber and lead balls undergo equal changes in momentum
  • change in momentum suffered by lead ball is less that of rubber ball
  • momentum of rubber ball is less than that of lead ball
  • none of these.
Q.11

A Seconds pendulum executes

  • 0.5 beat per second
  • 1.0 beat per second
  • 2.0 beats per second
  • 2.5 beats per second
  • 3 beats per second.
Q.12

Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and

  • concurrent
  • parallel
  • concurrent parallel
  • none of these.
Q.13

The equation of motion of a particle starting from rest along a straight line is x = t3 - 3l2 +The ratio of the velocities after 5 sec and 3 sec will be

  • 2
  • 3
  • 4
  • 5
  • 4.5
Q.14

A particle moves with a velocity of 2 m/sec in a straight line with a negative acceleration of 0.1 m/sec2. Time required to traverse a distance of 1.5 m, is

  • 40 sec
  • 30 sec
  • 20 sec
  • 15 sec
  • 10 sec.
Q.15

If two forces of 3 kg and 4 kg act at right angles to each other, their resultant force will be equal to

  • 7 kg
  • 1 kg
  • 5 kg
  • 1/7 kg
  • none of these.
Q.16

The velocity of a moving body, is

  • a vector quantity
  • a scalar quantity
  • a scalar as well as a vector quantity
  • none of these.
Q.17

The inherent property of a body which offers reluctance to change its state of rest or uniform motion, is

  • weight
  • mass
  • interia
  • momentum.
Q.18

Power can be expressed as

  • work/energy
  • work/time
  • work x time
  • work/distance.
Q.19

The following statement is one of the laws of Dynamic friction

  • The force of friction always acts in a direction opposite to that in which a body is moving
  • The magnitude of the kinetic friction bears a constant ratio to the normal reaction between two surfaces. The ratio being slightly less than that in the case of limiting friction
  • For moderate speeds the force of friction remains constant but decreases slightly with the increase of speed
  • all the above.
Q.20

Effect of a force on a body depends upon its

  • direction
  • magnitude
  • position
  • all the above.
Q.21

The units of moment of inertia of an area, are

  • kg/m
  • kg/m2
  • m4
  • m3
  • kg-m2.
Q.22

A number of forces acting simultaneously on a particle of a body

  • may not be replaced by a single force
  • may be replaced by a single force
  • may be replaced by a single force through C.G. of the body
  • may be replaced by a couple
  • none of these.
Q.23

Time required to stop a car moving with a velocitym/sec within a distance ofm, is

  • 2 sec
  • 3 sec
  • 4 sec
  • 5 sec
  • 6 sec.
Q.24

A particle moves with a velocity of 2 m/sec in a straight line with a negative acceleration of 0.1 m/sec2. Time required to traverse a distance of 1.5 m, is

  • 40 sec
  • 30 sec
  • 20 sec
  • 15 sec
  • 10 sec.
Q.25

The velocity of a body fallen from height h, on reaching the ground is given by

  • v = 2gh
  • v = 2gh2
  • v = 2gh
  • v = 1/2gh
  • h2/2g
Q.26

For a simple pendulum, time period for a beat, is

  • πl/g
  • π2l/g
  • πg/2l
  • πl/2g
  • π2g/l.
Q.27

A ball which is thrown upwards, returns to the ground describing a parabolic path during its flight

  • vertical component of velocity remains constant
  • horizontal component of velocity remains constant
  • speed of the ball remains constant
  • kinetic energy of the ball remains constant.
Q.28

A sphere is resting on two planes BA and BC which are inclined atandrespectively with the horizontal. The reaction on the plane BA will be

  • less than that on BC
  • more than that of BC
  • equal to that on BC
  • zero
  • none of these.
Q.29

Kinetic friction may be defined as

  • friction force acting when the body is just about to move
  • friction force acting when the body is in motion
  • angle between normal reaction and resultant of normal reaction and limiting friction
  • ratio of limiting friction and normal reaction.
Q.30

A ball of massg moving on a smooth horizontal table with a velocity ofm/sec hits an identical stationary ball B on the table. If the impact is perfectly plastic, the velocity of the ball B just after impact would be

  • zero
  • 5 m/sec
  • 10 m/sec
  • none of these.
0 h : 0 m : 1 s