A simple clutch consists of two cylindrical plates that can be pressed together to connect two sections of an axle, as needed, in a piece of machinery. The two plates have masses M, = 6.0 kg and M. = 9.0 kg, with equal radii R, = 0.60 m. They are initially separated. Plate M, is accelerated from rest to an angular velocity e», = 7.2 rad/s in time Ar = 2.0 s. Calculate (a) the angular momentum of M, and (b) the torque required to have accelerated M, from rest to 9- (c) Next, plate Mg, initially at rest but free to rotate without friction, is placed in firm contact with freely rotating plate M, and the two plates both rotate at a constant angular velocity o, which is considerably less than o. Why does this happen, and what is e,?

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Chapter11: Angular Momentum
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A simple clutch consists of two cylindrical plates
that can be pressed together to connect two
sections of an axle, as needed, in a piece of
machinery. The two plates have masses M, = 6.0
kg and Mg = 9.0 kg, with equal radii R, = 0.60 m.
They are initially separated. Plate M, is accelerated
from rest to an angular velocity o, = 7.2 rad/s in
time Ar = 2.0 s. Calculate (a) the angular
momentum of M, and (b) the torque required to
have accelerated M, from rest to o. (c) Next, plate
MB, initially at rest but free to rotate without
friction, is placed in firm contact with freely
rotating plate M, and the two plates both rotate at
a constant angular velocity o, which is
considerably less than w,. Why does this happen,
and what is e?
MA
Transcribed Image Text:A simple clutch consists of two cylindrical plates that can be pressed together to connect two sections of an axle, as needed, in a piece of machinery. The two plates have masses M, = 6.0 kg and Mg = 9.0 kg, with equal radii R, = 0.60 m. They are initially separated. Plate M, is accelerated from rest to an angular velocity o, = 7.2 rad/s in time Ar = 2.0 s. Calculate (a) the angular momentum of M, and (b) the torque required to have accelerated M, from rest to o. (c) Next, plate MB, initially at rest but free to rotate without friction, is placed in firm contact with freely rotating plate M, and the two plates both rotate at a constant angular velocity o, which is considerably less than w,. Why does this happen, and what is e? MA
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