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Q.

Displacement of a point mass executing SHM is given by x=asin⁡(ωt+π/6). After the elapse of what fraction of the time period, the velocity of the point will be equal to half of its maximum velocity ?

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a

T/3

b

T/12

c

T/8

d

T/6

answer is B.

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Detailed Solution

at t=0 x=A2,v=vmax2 at x=3A2Δt=t2−t1

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Displacement of a point mass executing SHM is given by x=asin⁡(ωt+π/6). After the elapse of what fraction of the time period, the velocity of the point will be equal to half of its maximum velocity ?