You are designing a clutch assembly which consists of two cylindrical plates, of mass MA

Chapter 8, Problem 83GP

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QUESTION:

You are designing a clutch assembly which consists of two cylindrical plates, of mass  and , with equal radii . They are initially separated (Fig.  ). Plate  is accelerated from rest to an angular velocity  in time . Calculate  the angular momentum of , and  the torque required to have accelerated  from rest to . (c) Plate , initially at rest but free to rotate without friction, is allowed to fall vertically (or pushed by a spring), so it is in firm contact with plate  (their contact surfaces are high-friction). Before contact,  was rotating at constant  After contact, at what constant angular velocity  do the two plates rotate?

         

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QUESTION:

You are designing a clutch assembly which consists of two cylindrical plates, of mass  and , with equal radii . They are initially separated (Fig.  ). Plate  is accelerated from rest to an angular velocity  in time . Calculate  the angular momentum of , and  the torque required to have accelerated  from rest to . (c) Plate , initially at rest but free to rotate without friction, is allowed to fall vertically (or pushed by a spring), so it is in firm contact with plate  (their contact surfaces are high-friction). Before contact,  was rotating at constant  After contact, at what constant angular velocity  do the two plates rotate?

         

ANSWER:

Solution

Step 1 of 4

In this problem, we have to the angular momentum and the torque required and find the constant angular velocity.

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