• 1. 
    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
  • 2. 
    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
  • 3. 
    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
  • 4. 
    Moment of inertia depends on

  • Distribution of particles
  • Mass
  • Position of axis of rotation
  • All of these
  • 5. 
    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
  • 6. 
    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
  • 7. 
    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
  • 8. 
    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.
  • 9. 
    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
  • 10. 
    Which is the wrong relation from the following?

  • t = I a
  • F = ma
  • L = I w
  • I = t a
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