A solid disc and a ring, both of radius `10 cm` are placed on a horizontal table simultaneously, with initial angular speed equal to `10 pi rad//s`. Which of the two will start to roll earlier ? The coefficient of kinetic friction is `mu_(k) = 0.2`.

A ring of radius R is rotating with an angular speed omega_0 about a horizontal axis. It is placed on a rough horizontal table. The coefficient of kinetic friction is mu_k . The time after it starts rolling is.

A cylinder of mass 5kg and radius 10cm is moving on a horizontal surface with speed. 5m//s and angular speed about axis through C.M. 10rad//s . Find the angular momentum of the cylinder about point of contact.

A small coin of mass 40 g is placed on the horizontal surface of a rotating disc. The disc starts from rest and is given a constant angular acceleration alpha="2 rad s"^(-2) . The coefficient of static friction between the coin and the disc is mu_(s)=3//4 and the coefficient of kinetic friction is mu_(k)=0.5. The coin is placed at a distance r=1m from the centre of the disc. The magnitude of hte resultant force on the coin exerted by the disc just before it starts slipping on the disc is :

A small coin of mass 80g is placed on the horizontal surface of a rotating disc. The disc starts from rest and is given a constant angular acceleration alpha=2rad//s^(2) . The coefficient of static friction between the coin and the disc is mu_(s)=3//4 and cofficient of kinetic friction is mu_(k)=0.5 . The coin is placed at a distance r=1m from the centre of the disc. The magnitude of the resultant force on the coin exerted by the disc just before it starts slipping on the disc is

solid sphere of radius r is gently placed on a rough horizontal ground with an initial angular speed omega_(0) and no linear velocity. If the coefficient of friction is mu , find the time t when the slipping stops. in addition state the linear velocity v and angular velocity omega at the end of slipping

A solid sphere of mass 1 kg and radius 10 cm rolls without slipping on a horizontal surface, with a velocity of 20 cm/s. The total kinetic energy of the sphere is

A solid sphere of mass 1 kg and radius 10 cm rolls without slipping on a horizontal surface, with a velocity of 20 cm/s. The total kinetic energy of the sphere is

A uniform circular ring of radius R is first rotated about its horizontal axis with an angular velocity omega_0 and then carefully placed on a rough horizontal surface as shown. The coefficient of friction between the surface and the rings mu . Time after which its angular speed is reduced to 0.5 omega_0 is