Q.

The instantaneous angular position of a point on a rotating wheel is given by the equation θ(t) = 2t3-6t2 The torque on the wheel becomes zero at

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a

t = 0.5 s

b

t = 0.25 s

c

t = 2s

d

t = 1 s

answer is D.

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Detailed Solution

The instantaneous angular position of a point on a rotating wheel is given by the equation θ(t) = 2t3-6t2According to question, torque, τ = 0its means that, α = 0α = d2θdt2Given θ(t) = 2t3-6t2So, dθdt = 6t2-12t       d2θdt2= 12t-12                 (α = d2θdt2=0)      12t-12 = 0        t = 1 s
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