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