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A solid body rotates with deceleration about a stationary axis with an angular deceleration α=kω ; where k is a constant and   ωis the angular velocity of the body.  If the initial angular velocity is ω0  , then time taken by the body  to come to rest—

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a

2ωok

b

4ωok

c

ωok

d

ωo2k

answer is A.

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Detailed Solution

−α = kw−dwdt = kw− ∫ωoodww = kdtω0−12+1−12+1 = kt2ωo = ktt = 2ωoK
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A solid body rotates with deceleration about a stationary axis with an angular deceleration α=kω ; where k is a constant and   ωis the angular velocity of the body.  If the initial angular velocity is ω0  , then time taken by the body  to come to rest—