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F-x and x-t graph of a principle in SHM ...

F-x and x-t graph of a principle in SHM are as shown in figure. Match the following.

Text Solution

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The correct Answer is:
`(A rarr q, B rarr r, C rarr s)`
T=8 s
`therefore omega=(2pi)/(T)=(pi)/(4) "rads"^(-1)`
K=-slope of F-x graph `=10 Nm^(-1)`
From, `T=2pisqrt((m)/(k))`
We have, `8=2pisqrt((m)/(10))`
`therefore m=(160)/(pi^(2))kg`
`K_("max")=(1)/(2)momega^(2)A^(2)=(1)/(2)xx(160).(pi^(2))xx(pi^(2))/(16)xx(4xx10^(-2))^(2)`
`=80xx10^(-3) J`
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