The figure below shows the side view of a meter stick that can rotate without fr

Question

The figure below shows the side view of a meter stick that can rotate without friction about an axis passing through the left end. Pennies (of negligible mass in comparison to the mass of the meter stick) have been placed on the meter stick at regular intervals. Initially, you hold it so that the stick is at rest in a horizontal position. When you let go, the meter stick rotates about the axis. Some of the pennies remain in contact with the meter stick while some lose contact with it. Use g = 9.8 m/s^2.

Determine the angular acceleration of the meter stick about the axis through the left end, immediately after you release the meter stick from rest.(rad/s^2)

Explanation / Answer

Your approach and formula seem right, so it must be the values you've substituted (or a calculator error). ? = mgD / (1/12*m*L² + m*D²) = gD / (L²/12 + D²) ? = (9.8 m/s²)(0.25 m) / [ (1.0 m)²/12 + (0.25 m)² ] = 16.8 rad/s²

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