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Q.

Two wheels A and B of same mass are rotating with same angular velocity about their respective geometrical axis. Wheel A has radius R and wheel B has radius 2R. Same breaking torque is applied on the wheels. If wheel A stops in 1 minute, wheel B will stop in

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a

4 min.

b

2 min.

c

0.5 min.

d

6 min

answer is A.

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Detailed Solution

(1)α=angular  retardation=τ12mr2=−2τmr2Using  ω=ω0−αt,O=  ω0−2τmr2t⇒  t=ω0mr22τ⇒  t  α   r2∴   tBtA=2RR2=4  ⇒   tB=4 ×  1   min=4min.
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Two wheels A and B of same mass are rotating with same angular velocity about their respective geometrical axis. Wheel A has radius R and wheel B has radius 2R. Same breaking torque is applied on the wheels. If wheel A stops in 1 minute, wheel B will stop in