A solid cylinder is given a velocity `v_(0)` and an angular speed `omega_(0)` in the anticlockwise direction and then it is placed gently on a very long rough plank ( initially at rest ) as shown in the figure. Then, choose the incorrect statement `:`

A disc of radius R is moving on a rough horizontal surface with velocity v and angular speed omega at an instant as shown in figure. Choose the correct statement.

A disc of radius R is moving on a rough horizontal surface with velocity v and angular speed omega at an instant as shown in figure. Choose the correct statement.

A solid sphere is given an angular velocity omega and kept on a rough fixed incline plane. The choose the correct statement.

A solid sphere is given an angular velocity zeta and kept on a rough fixed incline plane. The choose the correct statement.

If velocity of centre of mass v_(cm)=0 and angular speed omega=0 , then object is said to be in …... equilibrium.

A solid sphere of radius R is set into motion on a rough horizontal surface with a inear speed v_(0) in forward direction and an angular with a linear speed v_(0) in forward directioin and an angular velocity omega_(0)=v_(0)//2R in counter clockwise direction as shown in figure. If coefficient of friction mu then find a. the time after which sphere starts pure rolling, b. the linear speed of sphere when it starts rolling and c. the work down by friction over a long time.

A solid sphere of radius R is set into motion on a rough horizontal surface with a inear speed v_(0) in forward direction and an angular with a linear speed v_(0) in forward directioin and an angular velocity omega_(0)=v_(0)//2R in counter clockwise direction as shown in figure. If coefficient of friction mu then find a. the time after which sphere starts pure rolling, b. the linear speed of sphere when it starts rolling and c. the work down by friction over a long time.

If omega_(0), omega are initial and final angular velocities theta is the angular displacement and alpha is the angular acceleration then, choose the correct statement .

If omega_(0), omega are initial and final angular velocities theta is the angular displacement and alpha is the angular acceleration then, choose the correct statement .