Q.1

The unit of impulse, is

  • kg.m/sec
  • kg.m/sec3
  • kg.m/sec2
  • kg.m2/sec.
Q.2

The horizontal reaction at the support A of the structure shown in below figure, is

  • zero
  • 1 t
  • 2 t
  • 3 t
  • 2.5 t.
Q.3

From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The c.g. of the remainder is at a height of

  • 4.5 cm
  • 5.0 cm
  • 5.25 cm
  • 5.5 cm.
Q.4

The phenomenon of collision of two elastic bodies takes place because bodies

  • immediately after collision come momentarily to rest
  • tend to compress each other till they are compressed maximum possible
  • attempt to regain its original shape due to their elasticities
  • all the above.
Q.5

M.I. of solid sphere, is

  • 2/3 Mr2
  • 2/5 Mr2
  • Mr2
  • πr4/2
  • 1/2 Mr2.
Q.6

If two equal forces of magnitude P act at an angle θ, their resultant, will be

  • P cos θ/2
  • 2P sin θ/2
  • P tan θ/2
  • 2P cos θ/2
  • P sin θ/2.
Q.7

ω rad/sec is the angular velocity of a crank whose radius is r. If it makes θ° with inner dead centre and obliquity of the connecting rod l is φ, the velocity v of the piston, is given by the equation

  • ω2(l cos φ + r sin φ tan θ)
  • ω2(l sin φ + r cos φ tan θ)
  • ω(l sin φ + r cos φ tan θ)
  • ω2(l sin φ - r cos θ tan φ).
Q.8

From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The c.g. of the remainder is at a height of

  • 4.5 cm
  • 5.0 cm
  • 5.25 cm
  • 5.5 cm.
Q.9

When a body slides down an inclined surface, the acceleration (f) of the body, is given by

  • f = g
  • f = g sin θ
  • f = g cos θ
  • f = g tan θ.
Q.10

If a ball which is dropped from a height of 2.m on a smooth floor attains the height of bounce equal to 1.m, the coefficient of the restitution between the ball and floor, is

  • 0.25
  • 0.50
  • 0.67
  • 0.33
  • 0.75
Q.11

When a body slides down an inclined surface, the acceleration (f) of the body, is given by

  • f = g
  • f = g sin θ
  • f = g cos θ
  • f = g tan θ.
Q.12

The point about which combined motion of rotation and translation of a rigid body takes place, is known as

  • Virtual centre
  • Instantaneous centre
  • Instantaneous axis
  • Point of rotation
  • All the above.
Q.13

Periodic time of body moving with simple harmonic motion, is

  • directly proportional to its angular velocity
  • directly porportional to the square of its angular velocity
  • inversly proportional to the square of its angular velocity
  • inversely proportional to its angular velocity.
Q.14

The Centre of gravity of axx 5 cm T section from its bottom, is

  • 7.5 cm
  • 5.0 cm
  • 8.75 cm
  • 7.85 cm
  • none of above.
Q.15

If the resultant of two forces P and Q acting at an angle θ makes an angle α with P, then tan α equals

Q.16

The unit of moments in M.K.S system, is

  • kgm
  • kg/m2
  • kg/sec2
  • kg/sec.
Q.17

Periodic time of body moving with simple harmonic motion, is

  • directly proportional to its angular velocity
  • directly porportional to the square of its angular velocity
  • inversly proportional to the square of its angular velocity
  • inversely proportional to its angular velocity.
Q.18

A body of weightg appears to weightg when weighed by a spring balance in a moving lift. The acceleration of the lift at that moment was

  • 0.5 m/sec2
  • 0.7 m/sec2
  • 1 m/sec2
  • 1 cm/sec2.
Q.19

If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is

Q.20

The velocity ratio of an inclined plane of inclination θ with horizontal for lifting a load is

  • sin θ
  • cos θ
  • tan θ
  • sec θ
  • cosec θ.
Q.21

The piston of a steam engine moves with a simple harmonic motion. The crank rotatesr.p.m. and the stroke length is 2 metres. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

  • 5.88 m/sec
  • 8.88 m/sec
  • 10.88 m/sec
  • 12.88 m/sec.
Q.22

Newton's law of Collision of elastic bodies states that when two moving bodies collide each other, their velocity of separation

  • is directly proportional to their velocity of approach
  • is inversely proportional to their velocity of approach
  • bears a constant ratio to their velocity of approach
  • is equal to the sum of their velocities of approach.
Q.23

A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be

Q.24

A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be

Q.25

The practical units of work, is

  • erg
  • joule
  • Newton
  • dyne.
Q.26

The practical units of work, is

  • erg
  • joule
  • Newton
  • dyne.
Q.27

Pick up the correct statement from the following. The kinetic energy of a body

  • before impact is equal to that after impact
  • before impact is less than that after impact
  • before impact is more than that after impact
  • remains constant
  • none of these.
Q.28

A particle is dropped from the top of a towerm high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is

  • 16 m/sec
  • 18 m/sec
  • 20 m/sec
  • 22 m/sec.
Q.29

On a ladder resting on a rough ground and leaning against a smooth vertical wall, the force of friction acts

  • downwards at its upper end
  • upwards at its upper end
  • perpendicular to the wall at its upper end
  • zero at its upper end
  • none of these.
Q.30

For a self-locking machine, the efficiency should be

  • less than 60%
  • 50%
  • more than 50%
  • None of these.
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