An uniform spherical shell of mass m and radius R starts from rest with pure rolling on long inclined plane as shown in figure. The angular momentum of shell about point of contact after 1 s of its starting is KmR. Determine the value of `k(g=10m//s^(2))`.

A spherical shell of mass m and radius R is rolling up without slipping on a rough inclined plane as shown in the figure. The direction of static friction acting on the shell is

A disc of mass M and radius R is rolling with angular speed w on horizontal plane as shown. The magnitude of angular momentum of the disc about the origin O is :

A ring of mass m and radius R is rolling down on a rough inclined plane of angle theta with horizontal. Plot the angular momentum of the ring about the point of contact of ring and the plane as a function of time

A uniform sphere of mass m and radius R starts rolling without slipping down an inclined plane at an angle alpha to the horizontal. Find the time dependence of the angular momentum of the sphere relative to the point of contact at the initial moment. How will the obtained result change in the case of a perfectly smooth inclined plane?

A body of mass m and radius r is released from rest along a smooth inclined plane of angle of inclination theta . The angular momentum of the body about the instantanoues point contact after a time t from the instant of release of equal is :

A body of mass m and radius r is released from rest along a smooth inclined plane of angle of inclination theta . The angular momentum of the body about the instantanoues point contact after a time t from the instant of release of equal is :

A uniform thin spherical shell of mass m and radius R rolls down without slipping over an inclined plane of angle theta with the horizontal. The ratio of rotational kinetic energy to the total kinetic energy of the shell will be