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Questions  

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—

a
2ωok
b
4ωok
c
ωok
d
ωo2k

detailed solution

Correct option is A

−α = kw−dwdt = kw− ∫ωoodww = kdtω0−12+1−12+1 = kt2ωo = ktt = 2ωoK

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