A body of M.I. 3 kg m² rotating with an angular velocity 2 rad/s has the same K.E. as a mass of 12 kg moving with a velocity of
  • 1 m/s
  • 2 m/s
  • 4 m/s
  • 8 m/s
A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is
  • L/2
  • L/4
  • 2 L
  • 4 L
A thin uniform, circular ring is rolling down an inclined plane of inclination 300 without slipping. Its linear acceleration along the inclined plane will be
  • g/2
  • g/3
  • g/4
  • 2g/3
Moment of inertia depends on
  • Distribution of particles
  • Mass
  • Position of axis of rotation
  • All of these
Calculate the M.I. of a thin uniform ring about an axis tangent to the ring and in a plane of the ring, if its M.I. about an axis passing through the centre and perpendicular to plane is 4 kg m².
  • 12 kg m²
  • 3 kg m²
  • 6 kg m²
  • 9 kg m²
If a body is rotating about an axis, passing through its centre of mass then its angular momentum is directed along its
  • Radius
  • Tangent
  • Circumference
  • Axis of rotation
A solid cylinder of mass 20 kg, has length 1 metre and radius 0.5m. then its momentum of inertia in kg m² about its geometrical axis is
  • 2.5
  • 5
  • 1.5
  • 3
A particle moves on a circular path with decreasing speed. Choose the correct statement.
  • Angular momentum remains constant.
  • Acceleration is towards the centre.
  • Particle moves on a spiral path with decreasing radius.
  • The direction of angular momentum remains constant.
The M.I. of uniform circular disc about a diameter is I. its M.I. about an axis perpendicular to its plane passing through a point on its rim will be
  • 4 I
  • 6 I
  • 8 I
  • 9 I
Which is the wrong relation from the following?
  • t = I a
  • F = ma
  • L = I w
  • I = t a
A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same, which one of the following will not be affected?
  • Moment of inertia
  • Angular momentum
  • Angular velocity
  • Rotational kinetic energy
A hollow cylinder and a solid cylinder having different mass diameter are released from rest simultaneously from the of an inclined plane. Which will reach the bottom first?
  • solid cylinder
  • cant be determined without knowing their masses
  • hollow cylinder
  • cant be determined without knowing their diameters
If I, a and t are the moment of inertia, angular acceleration and torque respectively of a body rotating about any axis with angular velocity w, then
  • t = Ia
  • t = Iw
  • I = tw
  • a = Iw
A dancer on ice spins faster when she folds here arms. This is due to
  • Increases in energy and increase in angular momentum
  • Decrease in friction at the skates
  • Constant angular momentum and increase in kinetic energy
  • Increase in energy an decreases in angular momentum
The moment of inertia of a uniform semicircular disc of mass M and radius about a line perpendicular to the plane of the disc through the centre is
  • (2/5) Mr²
  • (1/4) Mr power 2
  • (1/2) Mr²
  • Mr²
A particle moves for 20 s with velocity 3 m/s and then moves with velocity 4 m/s for another 20 s and finally moves with velocity 5 m/s for next 20 s. what is the average velocity of the particle?
  • 3 m/s
  • 4 m/s
  • 5 m/s
  • Zero
For increasing the angular velocity of an object by 10%, the kinetic energy has to be increased by
  • 40%
  • 20%
  • 10%
  • 21%
0 h : 0 m : 1 s

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