A ball of radius RA = 5 in. is rolling without slip inside a stationary spherical bowl of...

A ball of radius RA = 5 in. is rolling without slip inside a stationary spherical bowl of radius RB = 17 in. Assume that the motion of the ball is planar.

Figure P6.81

If, at the instant shown, the center of the ball is traveling counterclockwise with a speed υA = 32 ft/s and such that , determine the acceleration of the center of the ball as well as the acceleration of the point on the ball that is contact with the bowl.