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Questions  

A particle is executing SHM according to the equation x = A cos ωt. Average speed of the particle during the interval 0  t  π6ω

a
3 Aω 2
b
3 Aω 4
c
3 Aωπ
d
3 Aωπ(2-3)

detailed solution

Correct option is D

Average velocity v  = ∫0tdxdt.dtt = ∫0tdxt = x(t)-x(0)t = A(cos π6-1)π6ω = 3 Aωπ(3 -2)since particle does not change its direction in the given interval , average speed|v| = 3 Aωπ(2-3)

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