The instantaneous displacement of particle in S.H.M is x = A cos ( ω t + 4 π ) . The time at which the velocity is maximum for the first time is

Given, x = Acos ( ω t + 4 π ) dt dx = ( − A ω ) sin ( ω t + 4 π ) When ( ω t + 4 π ) = 2 π , sin ( ω t + 4 π ) = 1 ∴ At time t = 4 ω π , the velocity is maximum for the first time

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PhysicsSHMMiscellaneousMedium2 minPYQ_2022

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The instantaneous displacement of particle in S.H.M is $x = A cos (ω t + \frac{π}{4})$ . The time at which the velocity is maximum for the first time is

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Given, $x = Acos (ω t + \frac{π}{4})$ $\frac{dx}{dt} = (- A ω) sin (ω t + \frac{π}{4})$ When $(ω t + \frac{π}{4}) = \frac{π}{2}, sin (ω t + \frac{π}{4}) = 1$ $∴$ At time $t = \frac{π}{4 ω}$ , the velocity is maximum for the first time

Stream:MHT_CETSubject:PhysicsTopic:SHMSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2022

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