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Q.

The cylinder of the radius R is confined to roll without slipping at A and B. If the plates have the velocities as shown, determine the angular velocity of the cylinder.

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a

3V2R

b

7 VR

c

9 VR

d

6 VR

answer is A.

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Detailed Solution

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No slip condition at A,vcm+Rω=ν……….(1)

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No slip condition at B,vcm-Rω=-2ν……….(2)

(1)-(2)⇒2Rω=3v⇒ω=3v2R

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