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Two simple harmonic motions given by y1=10sin100πt and  y2=5cos100πtπ/6 are super posed on a particle. The amplitude of the resulting motion of the particle is

a
15
b
56
c
57
d
103

detailed solution

Correct option is C

y1=10sin100πt=10cos10πt−π2Phase difference ϕ=100πt−π6−100πt−π2=π3∴Resultant amplitude =102+52+2.10.5cosπ3=57

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