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A light inextensible string has one end attached to a fixed support A. The other end is attached to a point on the perimeter of a uniform circular disc of radius A R and mass M. The string is tightly wound round the perimeter of the disc, which is released from rest with the string vertical and both disc and string lying in the same vertical plane (see figure). Given that x G MR2/2, determine the acceleration of G and the angular acceleration of the disc. How long will it take for the disc to undergo precisely one revolution, starting from rest?

A light inextensible string has one end attached to a fixed support A. The other end is attached to a point on the perimeter of a uniform circular disc of radius A R and mass M. The string is tightly wound round the perimeter of the disc, which is released from rest with the string vertical and both disc and string lying in the same vertical plane (see figure). Given that x G MR2/2, determine the acceleration of G and the angular acceleration of the disc. How long will it take for the disc to undergo precisely one revolution, starting from rest?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A light inextensible string has one end attached to a fixed support A. The other end is attached to a point on the perimeter of a uniform circular disc of radius A R and mass M. The string is tightly wound round the perimeter of the disc, which is released from rest with the string vertical and both disc and string lying in the same vertical plane (see figure). Given that X G IG = MR2 /2, determine the acceleration of G and the angular acceleration of the disc. How long will it take for the disc to undergo precisely one revolution, starting from rest?
Transcribed Image Text:A light inextensible string has one end attached to a fixed support A. The other end is attached to a point on the perimeter of a uniform circular disc of radius A R and mass M. The string is tightly wound round the perimeter of the disc, which is released from rest with the string vertical and both disc and string lying in the same vertical plane (see figure). Given that X G IG = MR2 /2, determine the acceleration of G and the angular acceleration of the disc. How long will it take for the disc to undergo precisely one revolution, starting from rest?
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