Question

A particle is executing shm given by x=5sin(4t-pi/6) the velocity of the particle when its displacement is 3 units

Answer 1

hello mate

x = 5sin pi t

Differentiating w.r.t time

v = 5pi cos pi t

At maximum displacement, v = 0

Therefore, 5pi cos pi t = 0

i.e. cos pi t = 0

i.e. pi t = pi/2

t =1/2 s

Thus, t =1/2s..

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