Question

Cartman decides to visit Tibet, and there he finds a Tibetan monastery atop a big rock. The only way up is a lift that uses the Atwood machine concept of a counterweight. The lift goes up a distance of 30 meters. When the lift is below the cliff top by 10 meters, assuming it to be basically at rest, Cartman decides to jump back down onto the lift. The pulley is quite massive at 200 kg. Assume the pulley to be in the shape of a perfect disk with a radius of 80 cm. The lift and counterweight both have a mass of 50 kg, and Cartman has a mass of 102 kg. (a) Start out by calculating what velocity Cartman has just as he hits the Atwood machine. (b) Calculate Cartman�s angular momentum relative to the center of the pulley right before he lands on the lift. (c) Apply conservation of angular momentum, including final state contributions from the counterweight, the mass of the lift, the pulley, and Cartman, to calculate what speed Cartman is going down at right after he lands on the lift. (d) Use conservation of energy to calculate how fast Cartman is going down when the lift hits bottom. If Kenny were under the lift, what happened?

Answer 1