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A particle of mass 50 g participates in ...

A particle of mass `50 g` participates in two simple harmonic oscillations simultaneously as given by `x_(1) = 10 (cm) cos [80 pi(s^(-1))t]` and `x_(2) = 5(cm) sin [(80 pi(s^(-1))t + pi//6]`. The amplitude of particle's oscillations is given by 'A'. Find the value of `A^(2) (in cm^(2))`.

A

175

B

165

C

275

D

375

Text Solution

Verified by Experts

The correct Answer is:
A
` A=sqrt(A_(1)^(2)+A_(2)^(2)+2A_(1)A_(2)cos phi)=sqrt(10^(2)+5^(2)+2xx 5xx10xx(1)/(2))=sqrt(175)rArr A^(2)=175`.
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