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Questions  

A particle is subjected to two simple harmonic motions given by, y1=10 sin ωt, y2= 5 sin ωt+π. The maximum speed of the particle is: 

a
102+52ω
b
102-52ω
c
5 ω
d
15 ω

detailed solution

Correct option is C

y=y1+y2=10 sin ωt+5 sin ωt+π =10 sin ωt-5 sin ωt Velocity =dydt=5ω cos ωt⇒maximum speed =5ω

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