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