A sphere of radius 20 cm and mass 1.2 kg rolls without slipping down a 30 degree incline that is 10 m long.
a) Calculare the translational and rotational speeds of the sphere when it reaches the bottom. Assume it starts from rest, and first solve for each speed symbolically, and the numerically.
b)What is the ratio of translational to rotational KE (KE/KErot) at the bottom? Also solve this ratio symbolically and then numerically so you can answer the following question.
C) Do your answers in parts a or b depend on the radius of the sphere or its mass.
My teacher did part a) for symbolically solving for the speed, and ended up with: w= 1/r*sqrt 10/7 gh
He began with mgh= 1/2mv^2 = 1/2(2/5mv)(v/r)^2
I don't know where to go from there.