A particle of mass m is introduced with zero velocityat r = 0 when = 0. It slides

Chapter 3, Problem 3/353

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A particle of mass m is introduced with zero velocity at r = 0 when \(\theta=0\). It slides outward through the smooth hollow tube, which is driven at the constant angular velocity \(\omega_{0}\) about a horizontal axis through point O. If the length l of the tube is 1 m and \(\omega_{0}=0.5 \mathrm{\ rad} / \mathrm{s}\) rad /s, determine the time t after release and the angular displacement \(\theta\) for which the particle exits the tube.

                                 

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