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). initial СOM COM Axle P final 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?

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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).
initial
СOM
COM Axle
P
final
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?
Transcribed Image Text: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). initial СOM COM Axle P final 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?
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