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A simple harmonic motion is represented ...

A simple harmonic motion is represented by : `y = 5(sin 3pi t + sqrt(3) cos 3pi t)cm` The amplitude and time period of the motion are :

A

`5 cm "" (2)/(3) s`

B

`10 cm""(3)/(2) s`

C

`10 cm"" (2)/(3) s`

D

`5 cm "" (3)/(2) s `

Text Solution

Verified by Experts

The correct Answer is:
C
` y = 5 sin ( 3 pi t) + 5 sqrt(3) cos 3 pi t 5 sqrt(3)`
` omega = 3 pi`
`T = (2 pi)/( omega ) = (2)/(3) sec `
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