Q.1

The angle of projection for a range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection, will be

  • 30°
  • 45°
  • 60°
  • 75°.
Q.2

The maximum frictional force which comes into play, when a body just begins to slide over the surface of a an other body, is known

  • sliding friction
  • rolling friction
  • limiting friction
  • none of these.
Q.3

The instantaneous centre of a member lies at the point of intersection of two lines drawn at the ends of the member such that the lines are inclined to the direction of motion of the ends at

  • 30°
  • 45°
  • 60°
  • 90°
Q.4

The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is

  • 437.5 cm4
  • 337.5 cm4
  • 237.5 cm4
  • 137.5 cm4
  • 37.5 cm4.
Q.5

Akg boy climbs up a 8 m rope in gymnasiam insec. The average power developed by the boy is approximately

  • 400 watts
  • 500 watts
  • 4000 watts
  • none of these.
Q.6

To avoid bending action at the base of a pier,

  • suspension and anchor cables are kept at the same level
  • suspension and anchor cables are fixed to pier top
  • suspension cable and anchor cables are attached to a saddle mounted on rollers on top of the pier
  • none the these.
Q.7

The characteristic of a couple, is :

  • algebraic sum of forces, constituting a couple is zero
  • algebraic sum of moments of forces, constituting a couple, about any poin, is same
  • a couple can be balanced only by a couple but of opposite sense
  • a couple can be never the balanced by a single force
  • all the above.
Q.8

Two particles have been projected at anglesandto the horizontal. If the velocity of projection of first ism/sec, the velocity of projection of the other for equal horizontal ranges is

  • 9.3 m/sec
  • 8.3 m/sec
  • 7.3 m/sec
  • 6.3 m/sec.
Q.9

The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is

  • 1/4
  • 1/2
  • 3/4
  • 2.
Q.10

Angular acceleration of a particle may be expressed as

  • radians/sec2
  • degrees/sec2
  • revolutions/sec
  • all the above.
Q.11

A projectile is fired at an angle θ to the vertical. Its horizontal range will be maximum when θ is

  • 30°
  • 45°
  • 60°
  • 90°.
Q.12

A particle executes a simple harmonic motion. While passing through the mean position, the particle possesses

  • maximum kinetic energy and minimum potential energy
  • maximum kinetic energy and maximum potential energy
  • minimum kinetic energy and maximum potential energy
  • minimum kinetic, energy and minimum potential energy
  • none of these.
Q.13

If the linear velocity of a point on the rim of a wheel ofm diameter, ism/sec, its angular velocity will be

  • 20 rad/sec
  • 15 rad/sec
  • 10 rad/sec
  • 5 rad/sec.
Q.14

A rod 5 m in length is moving in a vertical plane. When it is inclined atto horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is

  • 0.5 m/sec
  • 1.0 m/sec
  • 1.5 m/sec
  • 2.5 m/sec
  • 3.0 m/sec
Q.15

For perfectly elastic bodies, the value of coefficient of restitution is

  • zero
  • 0.5
  • 1.0
  • between 0 and 1.
Q.16

Two shots fired simultaneously from the top and bottom of a vertical tower with elevations ofandrespectively strike a target simultaneously. If horizontal distance of the target from the tower ism, the height of the tower is

  • 350 m
  • 375 m
  • 400 m
  • 425 m.
Q.17

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.18

The force acting on a point on the surface of a rigid body may be considered to act

  • at the centre of gravity of the body
  • on the periphery of the body
  • on any point on the line of action of the force
  • at any point on the surface normal to the line of action of the force.
Q.19

The apparent weight of a man in a moving lift is less than his real weight when it is going down with

  • uniform speed
  • an acceleration
  • linear momentum
  • retardation.
Q.20

A load ofkg was lifted through a distance ofcm. by an effort ofkg which moved through a distance ofcm. The mechanical advantage of the lifting machine is

  • 15
  • 18
  • 20
  • 26.
Q.21

If two forces each equal to T in magnitude act at right angles, their effect may be neutralised by a third force acting along their bisector in opposite direction whose magnitude will be

  • 2 T
  • 1/2 T
  • 2 T
  • 3 T
  • none of these.
Q.22

Varigon's theorem of moments states

  • arithmetical sum of the moments of two forces about any point, is equal to the moments of their resultant about that point
  • algebraic sum of the moments of two forces about any point, is equal to the moment of their resultant about that point
  • arithmetical sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point
  • algebraic sum of the moments of the forces about any point in their plane, is equal to the moment of their resulant about that point.
Q.23

A satellite is said to move in a synchronous orbit if it moves at an altitude ofkm with a maximum velocity of about

  • 7000 km per hour
  • 8000 km per hour
  • 9000 km per hour
  • 10, 000 per hour
  • 11, 000 km per hour.
Q.24

The necessary condition of equilibrium of a body, is :

  • algebraic sum of horizontal components of all the forces must be zero
  • algebraic sum of vertical components of all the forces must be zero
  • algebraic sum of the moments of the forces about a point must be zero
  • all (a), (b) and (c).
Q.25

P is the force acting on a body whose mass is m and acceleration is f. The equation P - mf =is known as

  • equation of dynamics
  • equation of dynamic equilibrium
  • equation of statics
  • none of these.
Q.26

Energy may be defined as

  • power of doing work
  • capacity of doing work
  • rate of doing work
  • all the above.
Q.27

The necessary condition of equilibrium of a body, is :

  • algebraic sum of horizontal components of all the forces must be zero
  • algebraic sum of vertical components of all the forces must be zero
  • algebraic sum of the moments of the forces about a point must be zero
  • all (a), (b) and (c).
Q.28

For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

  • α = -
  • α = +
  • α = -
  • α = -
  • α = -
Q.29

To avoid bending action at the base of a pier,

  • suspension and anchor cables are kept at the same level
  • suspension and anchor cables are fixed to pier top
  • suspension cable and anchor cables are attached to a saddle mounted on rollers on top of the pier
  • none the these.
Q.30

If G is the Gauge of track, v is velocity of the moving vehicle, g is the acceleration due to gravity and r is the radius of a circular path, the required superelevation is

0 h : 0 m : 1 s