Two simple harmonic motion are represented by the equations, y1 = 10 sin `(3pi"t"+pi/4)` and y2 = 5`(3sin3pi"t"+sqrt3cos3pi"t")`. Their amplitudes are in the ratio of ______.

Two simple harmonic motion are represented by the equations, y1 = 10 sin `(3pi"t"+pi/4)` and y2 = 5`(3sin3pi"t"+sqrt3cos3pi"t")`. Their amplitudes are in the ratio of `underlinebb(1/sqrt3)`.

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Two simple harmonic motion are represented by the equations, y1 = 10 sin t(3πt+π4) and y2 = 5tt(3sin3πt+3cos3πt). Their amplitudes are in the ratio of ______. -

Question

Two simple harmonic motion are represented by the equations, y₁ = 10 sin `(3pi"t"+pi/4)` and y₂ = 5`(3sin3pi"t"+sqrt3cos3pi"t")`. Their amplitudes are in the ratio of ______.

Options

`sqrt3`
`1/sqrt3`
2
`1/6`

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Solution

Two simple harmonic motion are represented by the equations, y₁ = 10 sin `(3pi"t"+pi/4)` and y₂ = 5`(3sin3pi"t"+sqrt3cos3pi"t")`. Their amplitudes are in the ratio of `underlinebb(1/sqrt3)`.

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Linear Simple Harmonic Motion (S.H.M.)

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