Q.

If a body of mass 36gm moves with S.H.M of amplitude A = 13 cm and period T = 12sec. At a time t = 0 the displacement is x = +13cm. The shortest time of passage from x = +6.5cm to x = – 6.5 is

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a

4sec

b

2 sec

c

6 sec

d

3 sec

answer is B.

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Detailed Solution

A=13cm,T=12cm time from +13cm to 6.5cmy=Acosωtcosωt=6.513=12=ωt=π32πT×t=π32tT×13=2t12=13t=42=2secQuestion Image
From 6.5cm to mean position t1 = 3 – 2 = 1 sec
From mean position to 6.5cm, y=Asinωt
y=Asin2πTt6.5=13sin2πT×tπ6=2πT×tπ6=2πT×tt=T12sec t2=1212=1sec

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