Rotational MotionHard
Question
A child′s top is spun with angular acceleration α = 4t3 - 3t2 + 2t where t is in seconds and α is in radian per second-squared. At t = 0, the top has angular velocity ω0 = 2 rad/s and a reference line on it is at angular position θ0 = 1 rad.
Statement I : Expression for angular velocity ω = (2 + t2 - t3 + t4) rad /s
Statement II : Expression for angular position θ = (1 + 2t - 3t2 + 4t3) rad
Statement I : Expression for angular velocity ω = (2 + t2 - t3 + t4) rad /s
Statement II : Expression for angular position θ = (1 + 2t - 3t2 + 4t3) rad
Options
A.Only statement-I is true
B.Only statement-II is true
C.Both of them are true
D.None of them are true
Solution
= (t4 - t3 + t2) w = 2 + t2 - t3 + t4
⇒ θ = 1 + 2t + 
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