Constrained Rotation and Translation Constrained Rotation and Translation Perhap

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Constrained Rotation and Translation

Constrained Rotation and Translation Perhaps the trickiest aspect of working with constraint equations for rotational motion is determining the correct sign for the kinematic quantities. Consider a tire of radius r rolling to the right, without slipping, with constant x velocity v.,. (Figure 2) Find w, the (constant) angular velocity of the tire. Be careful of the signs in your answer; recall that positive angular velocity corresponds to rotation in the counterclockwise direction. Express your answer in terms of vx, and r. Assume now that the angular velocity of the tire, which continues to roll without slipping, is not constant, but rather that the tire accelerates with constant angular acceleration alpha . Find alpha x, the linear acceleration of the tire. Express your answer in terms of alpha and r.

Explanation / Answer

Part E is actually -alpha*r

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