A uniform meter-stick with length l pivots at point O. The meter stick can rotate freely about O. We release the stick from the horizontal position at t=0.
a) Determine the angular acceleration immediately after the release of the stick. (Hint: Consider the equation of motion at t=0)
b) Assume the stick has a sufficient width, coins may be placed on the stick. Put coin 1 at P1, where OP1 = L/2, coin 2 at P2, where OP2 = 3L/4 and coin 3 at P3 where OP3 = L. Now we release the stick from the horizontal position at the time t = 0. Which coins are expected to stay on the stick immediately after the release of the stick? Assume when Ac, the acceleration of the coin is greater than or equal to As, the local acceleration of the meter stick, i.e., Ac>=As, the coin will stay on the stick. But when Ac<As, the coin will be detached from (i.e. will not stay on) the stick. (Hint: Compare the linear acceleration of the segment of the stick beneath each coin.)
a) Determine the angular acceleration immediately after the release of the stick. (Hint: Consider the equation of motion at t=0)
b) Assume the stick has a sufficient width, coins may be placed on the stick. Put coin 1 at P1, where OP1 = L/2, coin 2 at P2, where OP2 = 3L/4 and coin 3 at P3 where OP3 = L. Now we release the stick from the horizontal position at the time t = 0. Which coins are expected to stay on the stick immediately after the release of the stick? Assume when Ac, the acceleration of the coin is greater than or equal to As, the local acceleration of the meter stick, i.e., Ac>=As, the coin will stay on the stick. But when Ac<As, the coin will be detached from (i.e. will not stay on) the stick. (Hint: Compare the linear acceleration of the segment of the stick beneath each coin.)