06. Rolling Motion
Rotational Motion

150431 A hoop rolls down an inclined plane. The fraction of its total kinetic energy that is associated with rotational motions is

1 \(1: 2\)
2 \(1: 3\)
3 \(1: 4\)
4 \(2: 3\)
Rotational Motion

150432 A solid sphere and a ring of same radius roll down an inclined plane without slipping. Both start from rest from the top of the inclined plane. If the sphere and the ring reach the bottom of the inclined plane with velocities \(v_{s}\) and \(v_{r}\) respectively, then \(\frac{v_{r}^{2}}{v_{s}^{2}}\) is

1 0.2
2 0.5
3 0.7
4 0.9
Rotational Motion

150433 A hoop rolls on a horizontal ground without slipping with a linear speed \(10 \mathrm{~ms}^{-1}\). Speed of a particle at a point \(P\) on the circumference of the hoop as shown in the figure is
original image

1 \(10 \mathrm{~ms}^{-1}\)
2 \(5 \mathrm{~ms}^{-1}\)
3 \(20 \mathrm{~ms}^{-1}\)
4 \(10 \sqrt{2} \mathrm{~ms}^{-1}\)
Rotational Motion

150435 A tangential force \(F\) acts at the top of a thin spherical shell of mass ' \(m\) ' and radius \(R\). The acceleration of the shell, if it rolls without slipping is-
original image

1 \(\frac{5 \mathrm{~F}}{6 \mathrm{~m}}\)
2 \(\frac{6 \mathrm{~F}}{5 \mathrm{~m}}\)
3 \(\frac{7 \mathrm{~F}}{2 \mathrm{~F}}\)
4 \(\frac{2 \mathrm{~m}}{7 \mathrm{~F}}\)
Rotational Motion

150431 A hoop rolls down an inclined plane. The fraction of its total kinetic energy that is associated with rotational motions is

1 \(1: 2\)
2 \(1: 3\)
3 \(1: 4\)
4 \(2: 3\)
Rotational Motion

150432 A solid sphere and a ring of same radius roll down an inclined plane without slipping. Both start from rest from the top of the inclined plane. If the sphere and the ring reach the bottom of the inclined plane with velocities \(v_{s}\) and \(v_{r}\) respectively, then \(\frac{v_{r}^{2}}{v_{s}^{2}}\) is

1 0.2
2 0.5
3 0.7
4 0.9
Rotational Motion

150433 A hoop rolls on a horizontal ground without slipping with a linear speed \(10 \mathrm{~ms}^{-1}\). Speed of a particle at a point \(P\) on the circumference of the hoop as shown in the figure is
original image

1 \(10 \mathrm{~ms}^{-1}\)
2 \(5 \mathrm{~ms}^{-1}\)
3 \(20 \mathrm{~ms}^{-1}\)
4 \(10 \sqrt{2} \mathrm{~ms}^{-1}\)
Rotational Motion

150435 A tangential force \(F\) acts at the top of a thin spherical shell of mass ' \(m\) ' and radius \(R\). The acceleration of the shell, if it rolls without slipping is-
original image

1 \(\frac{5 \mathrm{~F}}{6 \mathrm{~m}}\)
2 \(\frac{6 \mathrm{~F}}{5 \mathrm{~m}}\)
3 \(\frac{7 \mathrm{~F}}{2 \mathrm{~F}}\)
4 \(\frac{2 \mathrm{~m}}{7 \mathrm{~F}}\)
Rotational Motion

150431 A hoop rolls down an inclined plane. The fraction of its total kinetic energy that is associated with rotational motions is

1 \(1: 2\)
2 \(1: 3\)
3 \(1: 4\)
4 \(2: 3\)
Rotational Motion

150432 A solid sphere and a ring of same radius roll down an inclined plane without slipping. Both start from rest from the top of the inclined plane. If the sphere and the ring reach the bottom of the inclined plane with velocities \(v_{s}\) and \(v_{r}\) respectively, then \(\frac{v_{r}^{2}}{v_{s}^{2}}\) is

1 0.2
2 0.5
3 0.7
4 0.9
Rotational Motion

150433 A hoop rolls on a horizontal ground without slipping with a linear speed \(10 \mathrm{~ms}^{-1}\). Speed of a particle at a point \(P\) on the circumference of the hoop as shown in the figure is
original image

1 \(10 \mathrm{~ms}^{-1}\)
2 \(5 \mathrm{~ms}^{-1}\)
3 \(20 \mathrm{~ms}^{-1}\)
4 \(10 \sqrt{2} \mathrm{~ms}^{-1}\)
Rotational Motion

150435 A tangential force \(F\) acts at the top of a thin spherical shell of mass ' \(m\) ' and radius \(R\). The acceleration of the shell, if it rolls without slipping is-
original image

1 \(\frac{5 \mathrm{~F}}{6 \mathrm{~m}}\)
2 \(\frac{6 \mathrm{~F}}{5 \mathrm{~m}}\)
3 \(\frac{7 \mathrm{~F}}{2 \mathrm{~F}}\)
4 \(\frac{2 \mathrm{~m}}{7 \mathrm{~F}}\)
Rotational Motion

150431 A hoop rolls down an inclined plane. The fraction of its total kinetic energy that is associated with rotational motions is

1 \(1: 2\)
2 \(1: 3\)
3 \(1: 4\)
4 \(2: 3\)
Rotational Motion

150432 A solid sphere and a ring of same radius roll down an inclined plane without slipping. Both start from rest from the top of the inclined plane. If the sphere and the ring reach the bottom of the inclined plane with velocities \(v_{s}\) and \(v_{r}\) respectively, then \(\frac{v_{r}^{2}}{v_{s}^{2}}\) is

1 0.2
2 0.5
3 0.7
4 0.9
Rotational Motion

150433 A hoop rolls on a horizontal ground without slipping with a linear speed \(10 \mathrm{~ms}^{-1}\). Speed of a particle at a point \(P\) on the circumference of the hoop as shown in the figure is
original image

1 \(10 \mathrm{~ms}^{-1}\)
2 \(5 \mathrm{~ms}^{-1}\)
3 \(20 \mathrm{~ms}^{-1}\)
4 \(10 \sqrt{2} \mathrm{~ms}^{-1}\)
Rotational Motion

150435 A tangential force \(F\) acts at the top of a thin spherical shell of mass ' \(m\) ' and radius \(R\). The acceleration of the shell, if it rolls without slipping is-
original image

1 \(\frac{5 \mathrm{~F}}{6 \mathrm{~m}}\)
2 \(\frac{6 \mathrm{~F}}{5 \mathrm{~m}}\)
3 \(\frac{7 \mathrm{~F}}{2 \mathrm{~F}}\)
4 \(\frac{2 \mathrm{~m}}{7 \mathrm{~F}}\)