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Question

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A particle is executing the motion x = αcos(ωt-θ).The velocity of the particle is

αω cosθ

αω

αω sinθ

None of the above

Solution

B.

αω

Given equation is x = α cos (ωt-θ)

$So velocity |\frac{dx}{dt}| = α ωsin (ω t - θ) a t (ωt - θ) = 90^{o}, the velocity will be maximum, therefore the maximum v velocity is ν = α ω$

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