A spherical ball rolls on a table without slipping. Then the fraction of its total energy associated with rotation is
2/5
2/7
3/5
3/7
The moment of inertia of a disc of mass M and radius R about a tangent to its rim in its plane is
2/3 MR2
3/2 MR2
4/5 MR2
5/4 MR2
The ratio of the 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
√5 : √6
1 : √2
A solid homogenous sphere of mass M and radius R is moving on a rough horizontal surface, party rolling and party sliding during this kind of motion of the sphere ?
Total kinetic energy is conserved
The angular momentum of the sphere about the point of contact with the plane is conserved
Only the rotational kinetic energy about the center of mass is conserved
Angular momentum about the center of mass is conserved
A round disc of moment of inertia I2 about its axis perpendicular to its plane and passing through its center is placed over another disc of moment of inertia I1 rotating with an angular velocity ω about the same axis. The final angular velocity of the combination of discs is
ω
A solid sphere and a hollow sphere are thrown horizontally from a cliff with equal velocities, respectively. Then which sphere reaches first on earth ?
Solid sphere
Hollow sphere
Both sphere simultaneously
We cannot say because masses of spheres are not given
Moment of inertia of a uniform circular disc about a diameter is I. Its moment of inertia about an axis perpendicular to its plane and passing trough a point on its rim will be
5 I
3 I
6 I
4 I
If a sphere is rolling, the ratio of the translational energy to total kinetic energy is given by
7 : 10
2 : 5
10 : 7
5 : 7
The angular speed of an engine wheel making 90 rev/min is
1.5 π rad/s
3 π rad/s
4.5 π rad/s
6 π rad/s
If a fly wheel makes 120 rev/min, then its angular speed will be
8 π rad/s
4 π rad/s
2 π rad/s