Problem 1: Two kickballs of radius R and mass m are placed in an upside down cylindrical bucket of diameter 3R, with a third kickball on top (see figure). The ball on top is then removed. (a) Describe the motion of the bucket in words. (b) What is the minimum mass of the bucket necessary for the bucket to remain still?

Problem 1: Two kickballs of radius R and mass m are placed in an upside down cylindrical bucket of diameter 3R, with a third kickball on top (see figure). The ball on top is then removed. (a) Describe the motion of the bucket in words. (b) What is the minimum mass of the bucket necessary for the bucket to remain still?