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Q.

Two simple harmonic motions x1=2 cos100πt and x2=2 sin100πt are superimposed on a particle. If x1 and x2 are in cm and t is in second, the maximum velocity of the particle is (in m/s)

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a

42π

b

c

22π

d

answer is C.

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Detailed Solution

x=x1+x2=(2 cos100 πt+2 sin100 πt) cm⇒x=22 cos 100πt-π4 cm∴Vmax=Aω=22 x 100π cm/s = 22π m/s
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