A particle is subjected to two SHMs $$x1=A1sin$$ωt and $$x2=A2sin$$ω$$t+$$π$$4$$. The resultant SHM will have an amplitude of

Correct option is 3A12+A22+2A1A2

Questions

A particle is subjected to two SHMs $x_{1} = A_{1} sinωt and x_{2} = A_{2} \sin (ωt + \frac{π}{4})$ . The resultant SHM will have an amplitude of

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A1+A22

A12+A22

A12+A22+2A1A2

A1A2

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detailed solution

Correct option is C

A=A12+A22+2A1A2cosϕ

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A particle is subjected to two SHMs x1=A1sinωt and x2=A2sinωt+π4. The resultant SHM will have an amplitude of

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Ready to Test Your Skills?

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A particle is subjected to two SHMs $x_{1} = A_{1} sinωt and x_{2} = A_{2} \sin (ωt + \frac{π}{4})$ . The resultant SHM will have an amplitude of