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Consider two springs whose force constan...

Consider two springs whose force constants are `1Nm^(-1) and 2N m^(-1)` which are connected in series. Calculate the effective spring constant `(k_(s))` and comment on `k_(s)`.

Text Solution

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`k_(1)=1Nm^(-1),k_(2)=2Nm^(-1)`
`k_(s)=(k_(1)k_(2))/(k_(1)+k_(2))Nm^(-1)`
`k_(s)=(1xx2)/(1+2)=(2)/(3)Nm^(-1)`
`k_(s)ltk_(1)andk_(s)ltk_(2)`
Therefore, the effective spring constant is lesser than both `k_(1) and k_(2)`.
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