Consider a dumbbell consisting of a light rod of length 2 m with a 5 kg monkey clinging to each end. It is rotated at 2 radians per second, about a vertical axis passing through its centre and at right angles to the rod. a) Calculate the tangential speed of the monkeys and the angular momentum of the dumbbell. What is the kinetic enegy of the monkeys? b) The monkeys now crawl inwards along the rod, until they are 0.5 m from the axis. What is the angular speed of the dumbell as a function of the position of the monkeys? (You may assume there is no external torque.)

Consider a dumbbell consisting of a light rod of length 2 m with a 5 kg monkey clinging to each end. It is rotated at 2 radians per second, about a vertical axis passing through its centre and at right angles to the rod. a) Calculate the tangential speed of the monkeys and the angular momentum of the dumbbell. What is the kinetic enegy of the monkeys? b) The monkeys now crawl inwards along the rod, until they are 0.5 m from the axis. What is the angular speed of the dumbell as a function of the position of the monkeys? (You may assume there is no external torque.)