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Consider Sample Problem 7-6. The inner ball is released and rolls around inside the spherical shell for some time be- fore coming to rest. During this time the center of mass (A) moves both horizontally and vertically. (B) moves both horizontally and vertically, but returns to the original horizontal position when the system comes to rest. (C) moves only vertically. (D) moves vertically only downward, because the center of mass can never move upward.

Consider Sample Problem 7-6. The inner ball is released and rolls around inside the spherical shell for some time be- fore coming to rest. During this time the center of mass
(A) moves both horizontally and vertically.
(B) moves both horizontally and vertically, but returns to the original horizontal position when the system comes to rest.
(C) moves only vertically.
(D) moves vertically only downward, because the center of mass can never move upward.

Grade:11

1 Answers

Aditi Chauhan
askIITians Faculty 396 Points
7 years ago
The correct option is:(C) only moves vertically.
It is important to note that only vertical forces act on the system in problem 7-6. Therefore the acceleration of the center of mass will also be in the vertical direction. thus, the spherical shell and the inner ball moves such that the center of mass of the system moves vertically accounting for the vertical forces acting on it.

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