Consider that you have a water park and a slide with no frictionin it . Park visitors slide a vertical distance hh down thewaterslide in a sitting position. When they come to the bottom ofthe slide, they grab a handle at the bottom end of a 5.00-m-longuniform pole. The pole hangs vertically, initially at rest. Theupper end of the pole is pivoted about a stationary, frictionlessaxle. The pole with a person hanging on the end swings up throughan angle of 70.0∘∘, and then the person lets go of the pole anddrops into a pool of water. Treat the person as a point mass. Thepole's moment of inertia is given by I=1/3 ML^2 , where L = 6.00 mis the length of the pole and M = 40.0 kg is its mass.
For a person of mass 70.0 kg, what must be the height hh inorder for the pole to have a maximum angle of swing of 60.0∘ afterthe collision?
