The ratio of radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is
  • $2:3$
  • $2:1$
  • $\sqrt5:\sqrt6$
  • $1:\sqrt2$
The ratio of the radii of gyration of a circular disc to that of circular ring, each of same mass, each of same mass and same radius about their axes is
  • $\sqrt3:\sqrt2$
  • $1:\sqrt2$
  • $\sqrt2:1$
  • $\sqrt2:\sqrt3$
A disc is rotating with angular speed \omega. If the child sits on it, what is conserved
  • angular momentum
  • linear momentum
  • kinetic energy
  • potential energy
A solid sphere, disc and solid cylinder all of the same mass and made of same material are allowed to roll down (from rest) on the inclined plane, then
  • solid sphere reaches the bottom first
  • solid cylinder reaches the bottom first
  • disc will reach the bottom first
  • all reach the bottom at the same time
The moment of inertia of a thin uniform rod of mass $M$ and length $L$ about an axis passing through its mid-point and perpendicular to its length is $I_0$. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is
  • $I_0+\frac{ML^2}{2}$
  • $I_0+\frac{ML^2}{4}$
  • $I_0+2ML^2$
  • $I_0+ML^2$
0 h : 0 m : 1 s

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