32. We use a right-handed coordinate system with #kdirected out of the xyplane so as to be consistent with counterclockwise rotation (and the right-hand rule). Thus, all the angular momenta being considered are along the –#k direction; for example, in part (b) GA=−402.#tk in SI units. We use Eq. 11-23. (a) The angular momentum is constant so its derivative is zero. There is no torque in this instance. (b) Taking the derivative with respect to time, we obtain the torque: ()2ˆˆ4.0k( 8.0 N m)kddttdtdtτ==−=−⋅GAG.This vector points in the –#k direction (causing the clockwise motion to speed up) for all
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