8. A thin uniform rod AB of mass 3m and length 2a is free to rotate in a vertical plane about a smooth horizontal axis through a point P on the rod, where AP = -a. The rod is released from rest when 3 makes an angle ß with the horizontal. (a) Show that in the ensuing motion, 19a dt 24 g(sin 0 – sin B), where 0 is the angle the rod makes with the horizontal at time t. (b) When R = 0 find the magnitude of the ronction on the nxic of

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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8.
A thin uniform rod AB of mass 3m and length 2a is free to rotate in a vertical plane about a smooth
horizontal axis through a point P on the rod, where AP = a. The rod is released from rest when PB
3
makes an angle ß with the horizontal.
(a) Show that in the ensuing motion,
19a
dt
249(sin 0 – sin B),
where 0 is the angle the rod makes with the horizontal at time t.
(b) When B = 0, find the magnitude of the reaction on the axis of rotation when e
3
Transcribed Image Text:8. A thin uniform rod AB of mass 3m and length 2a is free to rotate in a vertical plane about a smooth horizontal axis through a point P on the rod, where AP = a. The rod is released from rest when PB 3 makes an angle ß with the horizontal. (a) Show that in the ensuing motion, 19a dt 249(sin 0 – sin B), where 0 is the angle the rod makes with the horizontal at time t. (b) When B = 0, find the magnitude of the reaction on the axis of rotation when e 3
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