A thin circular disk of radius R and mass M has an axle through it close to its outer edge. The disk is rotated through 90 deg and then allowed to drop.  (The figure shows the disk in its initial position before it is released, and its final position when point P passes through the lowest point). a) If the zero of height is taken to be the location of the COM when the disk is in its final position, what is the energy of the disk before it is release? b) What is the moment of inertia of the disk about the axle? c) What is the angular speed of the disk when it is in the final position? d) What is the speed of point P, on the outer edge of the disk, as it passes through the lowest point in its swing?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A thin circular disk of radius R and mass M has an axle through it close to its outer edge. The disk is rotated through 90 deg and then allowed to drop. 

(The figure shows the disk in its initial position before it is released, and its final position when point P passes through the lowest point).



a) If the zero of height is taken to be the location of the COM when the disk is in its final position, what is the energy of the disk before it is release?

b) What is the moment of inertia of the disk about the axle?

c) What is the angular speed of the disk when it is in the final position?

d) What is the speed of point P, on the outer edge of the disk, as it passes through the lowest point in its swing?
 

initial
COM Axle
P
final
V
P
Transcribed Image Text:initial COM Axle P final V P
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