A solid sphere of mass 4 kg and radius 10.0 cm is pushed across a horizontal sur

Question

A solid sphere of mass 4 kg and radius 10.0 cm is pushed across a horizontal surface. A force is applied by pushing horizontally on it with a wood block. Friction for all surfaces can be modeled by s = .40 and k = .30.

a) Find the linear acceleration of the sphere if the normal force of the wood on the ball is 10.0 N, 0 degrees.

b) What is the maximum normal force that the wood can exert on the spheere without slippage on the horizontal surface?

c) If this is just barely exceeded, what is the angular acceleration of the sphere?

Everything I've tried so far hasn't really worked out. There is friction to the left, I think, causing a clockwise torque. There is also friction down, I think, causing counter-clockwise torque. The friction to the left is dependent on the downward friction, because the downward friction increases the normal force. But when I try to set up equations using that information, I get wrong answers. I'm out of ideas. Any help is appreciated. I usually solve my problems symbolically, but if you do it numerically, that's fine too.

Explanation / Answer

use the link of the pic for your answer http://i.imgur.com/o7PxZ.jpg http://i.imgur.com/irEWM.jpg

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