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Rotational Motion: Motion of clutch plates when engaged.

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See attached file for proper format.

A and B are two separate clutch plates. Plate A has a mass of 36 kg, a
radius of gyration of 0.12 m and rotates at 660 rev min-1. Plate B has a
mass of 45 kg, a radius of gyration of 0.16 m and is stationary.

When the clutch plates are engaged, slipping ceases after 0.4 seconds and
the two plates then rotate with a common angular velocity. Calculate:

(a) the common angular velocity of the plates after engagement

(b) the loss of kinetic energy during the engagement

(c) the torque transmitted by the clutch, assuming this to be constant
during the engagement period.

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Solution Summary

Angular velocity of a clutch plate is calculated after engaged with a stationary plate.

Solution Preview

Please see the attached.

Moment of Inertia of a body about given axis is given by I = MK2 where M is the mass and K is the radius of gyration. Thus
Moment of inertia of plate A is given by

And that of plate B will be

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