The pendulum consists of 2-lb rod BA and a 6 lb disk. The spring is stretched 0.3 ft when the rod is horizontal as shown. When the pendulum is released, it rotates about bearing D. The roller at C allows the spring to remain vertical as the rod falls. (a) If released from rest, determine the pendulum's angular velocity at the instant the rod becomes vertical. (b) Suppose we now add a torsional spring of strength kt to the bearing at D. The torsional spring provides a restoring moment in much the same way as a linear spring provides a restoring force. It has an associated potential function of Vt = 1/2 kt 02, where 0 is the angular displacement of the rod from its horizontal position. What value should kt have so that the pendulum comes to rest again after displacing 45°?

The pendulum consists of 2-lb rod BA and a 6 lb disk. The spring is stretched 0.3 ft when the rod is horizontal as shown. When the pendulum is released, it rotates about bearing D. The roller at C allows the spring to remain vertical as the rod falls. (a) If released from rest, determine the pendulum's angular velocity at the instant the rod becomes vertical. (b) Suppose we now add a torsional spring of strength kt to the bearing at D. The torsional spring provides a restoring moment in much the same way as a linear spring provides a restoring force. It has an associated potential function of Vt = 1/2 kt 02, where 0 is the angular displacement of the rod from its horizontal position. What value should kt have so that the pendulum comes to rest again after displacing 45°?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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