Question

A paddlewheel is made by attaching 4 thin uniform blades of length L and massmo to the exterior of a solid wooden disk of mass M and radius R. The paddlewheel isfree to spin about an axis through its center, on frictionless bearings. A particle pf mass m, moving horizontally at speed vo impinges on the outer edge of the vertically-alignedbottom blade of the stationary paddlewheel. Uniform gravity g is present.a) Determine the moment of inertia for the paddlewheel with blades, before being hit by m,.b) Assume m, is made of clay and sticks to the'blade. What is vo such that thepaddlewheel almost rotates by 180 degrees (i.e. the blade with clay attached nearlyreaches the top) after the collision?c) For part b), determine the kinetic energy of the paddlewheel immediately after thecollision (do not include the kinetic energy of the attached clay).d) Now assume that m, is made of steel and thus bounces (fully elastically) straightback after hitting the blade, with velocity -vo. What is the kinetic energy of thepaddlewheel after the collision?

Answer 1