Question

A uniform sphere rolls down an incline. (a) What should be the incline angle theta if the linear acceleration of the center of the sphere is to be 0.2g, where g is acceleration due to gravity? (b) For this angle, what would be the acceleration of a frictionless block sliding down the incline?

A uniform sphere('a = žmR”, rolls down an incline.(a) What should be the incline angle if the linear acceleration of the center of the sphere is to be 0.2g, where g is acceleration due to gravity? (b) For this angle, what would be the acceleration of a frictionless block sliding down the incline? (6-points)

Answer 1

B sphere ya fe: Q ng sino - fell ma mgsino fu 2 mR²a 3 R? fua 2 ma mai 2 mar 2 ma ng sino masino ma (+3) a = 3 g sino 0:29 & sino og sino a 3 0 = 19.47

b> For block on fictionless back 2 mgsino ma mg sino 1 az gsino 0.2g = g sino Sino -0.2 sin! 0.2 0 os 11.53