A rigid body is rotating about a fixed axis is initially at rest at t = 0 torque acting on a body produces an angular acceleration α = ( t − 1 ) rad / s 2 (Anticlock wise taken as +ive)

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​ d t d ω ​ = t − 1 ∫ 0 0 ​ d ω = ∫ 0 t ​ ( t − 1 ) d t ​ 0 = 2 t 2 ​ − t ​ ⇒ t = 0 , t = 2 ​ during t = 0 to t = 1 it spee d s up -ively & then ​ slows down to zero at t = 2 ​ later it speeds up +ively. ​ d t d ω ​ = t − 1 ∫ 0 0 ​ d ω = ∫ 0 t ​ ( t − 1 ) d t

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