A simple friction drive consists of two disks A and B. Initially, disk B has a clockwise angular velocity of 500 rpm, and disk A is at rest. It is known that disk B will coast to rest in 60 s. However, rather than waiting until both disks are at rest to bring them together, disk A is given a constant angular acceleration of 3 rad/s2 counterclockwise. Determine (a) at what time the disks can be brought together if they are not to slip, (b) the angular velocity of each disk as contact is made.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A simple friction drive consists of two disks A and B. Initially, disk B has a clockwise
angular velocity of 500 rpm, and disk A is at rest. It is known that disk B will coast to
rest in 60 s. However, rather than waiting until both disks are at rest to bring them
together, disk A is given a constant angular acceleration of 3 rad/s2 counterclockwise.
Determine (a) at what time the disks can be brought together if they are not to
slip, (b) the angular velocity of each disk as contact is made.

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