A bead is contrained to move on rod in granvity free space as shown in figure. The rod rotating with ,angular velocity and angulnr acceleration `alpha` about its end. If `mu` is coefficient of friction. Mark the correct option. ( Rod rotates in the plane of paper.)

A rod is rotating with angular velocity omega about axis AB. Find costheta .

A rod is rotating with angular velocity omega about axis AB. Find costheta .

A rod is released from the horizontal position as shown. It is free to rotate about hinge. Find angular velocity of rod when it become vertical?

A long horizontal rod has a bead which can slide along its length and is initially placed at a distance L from one end A of the rod. The rod is set in angular motion about A with a constant angular acceleration, alpha . If the coefficient of friction between the rod and bead is mu and gravity is neglected, then the time after which the bead starts slipping is

A long horizontal rod has a bead which can slide along its length and initially placed at a distance L from one end A of the rod. The rod is set in angular motion about A with constant angular acceleration alpha. if the coefficient of friction between the rod and the bead is mu , and gravity is neglected, then the time after which the bead starts slipping is