- #1
SignaturePF
- 112
- 0
Homework Statement
Four objects are placed at rest at the top of an inclined plane and allowed to roll without slipping to the bottom
in the absence of rolling resistance and air resistance.
• Object A is a solid brass ball of diameter d.
• Object B is a solid brass ball of diameter 2d.
• Object C is a hollow brass sphere of diameter d.
• Object D is a solid aluminum ball of diameter d. (Aluminum is less dense than brass.)
The balls are placed so that their centers of mass all travel the same distance. In each case, the time of motion T
is measured. Which of the following statements is correct?
(A) TB > TC > TA = TD
(B) TA = TB = TC > TD
(C) TB > TA = TC = TD
(D) TC > TA = TB = TD← CORRECT
(E) TA = TB = TC = TD
Homework Equations
T = 2pir/ v
K(rotation and translation) = 1/2mv^2 + 1/2Iw^2
The Attempt at a Solution
No idea, for some reason I tried to find the total kinetic energy of each object, didn't really work though.