Ou are sparring in a tae kwon do class. Your opponent executes a roundhouse kick. The average angular velocity of his kicking leg and foot is 20 rad/s. The angular displacement from his foot to your head is 5 rad. How much time do you have to move if you want to avoid being kicked in the head?

Two masses are connected by a rope that hangs over a pulley as shown below. the pulley is a uniform cylinder of radius 푅=0.381meters and mass 푀=3.1푘푔. initially 푚"is on the ground and 푚#rests 2.5 meters above the ground. if the system is released, use conservation of energy to determine the speed of 푚#just before it strikes the ground. assume the pulley bearing is frictionless.