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In the figure shown surfaces are smooth ...

In the figure shown surfaces are smooth and blocks `A` and `B` have same mass `m`. The two bodies are displaced right and released. It is found that bodies move according to the equation `x_(A)=A sin(omegat+phi)`, `X_(B)=2Asin(omegat+phi)`

A

`(K_(1))/(K_(2))=(3)/(2)`

B

`(K_(1))/(K_(2))=(1)/(2)`

C

`(K_(1))/(K_(2))=1`

D

`(K_(1))/(K_(2))=2`

Text Solution

Verified by Experts

`K_(2)A=omega^(2)(2A)`
`K_(1)A-K_(2)A=omega^(2)A`
`rArr (K_(2))/(K_(1)-K_(2))=(2)/(1)`
`rArr (K_(1))/(K_(2))=(3)/(2)`
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