A solid sphere of mass `m` and radius `R` is rolling without slipping as shown in figure. Find angular momentum of the sphere about z-axis.

A solid sphere of mass M and radius R is in pure rolling as shown in figure. The angular momentum of the sphere about the origin is (linear velocity of centre of mass is v_0 , in positive x-direction)

A solid sphere of mass m and radius R rolls without slipping on a horizontal surface such that v_(c.m.)=v_(0) .

Three solid sphere of mass M and radius R are placed in contact as shown in figure. Find the potential energy of the system ?

Three solid sphere of mass M and radius R are placed in contact as shown in figure. Find the potential energy of the system ?

Three solid spheres of mass M and radius R are placed in contact as shown in figure. Find the potential energy of the system ?

A sphere of mass m and radius r rolls without slipping over a tunnel of width d=(8r)/(5) as shown in the figure. (in the figure the sphere rolls perpendicular to the plane of the page) the velocity of centre of mass of sphere is v directed into the plane of the page. the maximum speed of a point on the sphere is