As per the shown figure the central solid cylinder starts with initial angular velocity `omega_(0)` Find the time after which the angular velocity becomes half.

The assembly of two discs as shown in figure is placed on a rough horizontal surface and the front disc is given an initial angular velocity omega_(0) . Determine the final linear and angular velocity when both the discs start rolling. it is given that friction is sufficient to sustain rolling the rear wheel from the starting of motion.

The assembly of two discs as shown in figure is placed on a rough horizontal surface and the front disc is given an initial angular velocity omega_(0) . Determine the final linear and angular velocity when both the discs start rolling. it is given that friction is sufficient to sustain rolling the rear wheel from the starting of motion.

A solid spherical ball of radius R collides with a rough horizontal surface as shown in figure. At the time of collision its velocity is v_(0) at an angle theta to the horizontal and angular velocity omega_(0) as shown . After collision, the angular velocity of ball may

A solid spherical ball of radius R collides with a rough horizontal surface as shown in figure. At the time of collision its velocity is v_(0) at an angle theta to the horizontal and angular velocity omega_(0) as shown . After collision, the angular velocity of ball may

A mass is supported on a frictionless horizontal surface. It Is attached to a string and rotates about a fixed center at an angular velocity omega_(0) .If the length of the string and angular velocity both are doubled, the tension in the string which was initially T_(0) is now

A mass is supported on a frictionless horizontal surface. It is attached to a string and rotates about a fixed centre with a angular velocity omega_(0) . If the length of the string and angular velocity are doubled, the tension in the string which was initially T_(0) is now

Ring is fixed on the horizontal surface and a rod starts rotatiing with constant angular velocity omega fixed at O as shown in the figure. Find the magnitude of velocity of intersection points of rod and ring when aplha become 90^(@)

Ring is fixed on the horizontal surface and a rod starts rotatiing with constant angular velocity omega fixed at O as shown in the figure. Find the magnitude of velocity of intersection points of rod and ring when aplha become 90^(@)

A uniform sphere of radius R is palced on a rough horizontal surface and given a linear velocity v_(0) and an angular velocity omega _(0) as shown . If the angular velocity and the linear velocity both become zero simultaneously, then