A disk of mass M is spinning freely at 4.49 rad/s when a second identical disk,...
A disk of mass M is spinning freely at 4.49 rad/s when a second identical disk, initially not spinning, is dropped onto it so that their axes coincide. In a short time the two disks are corotating.
a) What is the angular speed of the new system (in rad/s)?
b) If a third such disk is dropped on the first two, find the final angular speed of the system (in rad/s).
Homework Answers
given
wo = 4.49 rad/s
a) let I is the moment of inertia of the disk.
let w is the final angular speed.
Apply conservation of anghular momentum
Lf = Li
(I + I)*w = I*wo
w = wo/2
= 4.49/2
= 2.245 rad/s <<<<<<<<---------------Answer
b) let w' is the final angular speed
Lf = Li
(I + I + I)*w' = 2*I*w
w' = 2*w/3
= 2*2.245/3
= 1.50 rad/s <<<<<<<<---------------Answer
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