A thin uniform rod AB of mass 3m and length Sa is free to rotate in a vertical plane about a smooth horizontal axis through the end A. The rod is released from rest when AB is horizontal. When the rod 29 5a makes an angle 0 with the downward vertical through A, its angular speed is, (i) Show that e cos (ii) Find the angular velocity of the system as the rod first passes through the vertical position.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Answer i, ii

A thin uniform rod AB of mass 3m and length 5a is free to rotate in a vertical plane about a smooth
horizontal axis through the end A. The rod is released from rest when AB is horizontal. When the rod
makes an angle 0 with the downward vertical through A, its angular speed is,
29
5a
(i)
Show that e = cos
(ii)
Find the angular velocity of the system as the rod first passes through the vertical position.
16
Transcribed Image Text:A thin uniform rod AB of mass 3m and length 5a is free to rotate in a vertical plane about a smooth horizontal axis through the end A. The rod is released from rest when AB is horizontal. When the rod makes an angle 0 with the downward vertical through A, its angular speed is, 29 5a (i) Show that e = cos (ii) Find the angular velocity of the system as the rod first passes through the vertical position. 16
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