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Infinite springs with force constants k,2k, 4k and 8k … respectively are connected in series. What will be the effective force constant of springs, when `k=10N//m` |
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Answer» When springs are in series, the effective force constant K is given by `(1)/(K)=(1)/(k)=+(1)/(2k)+(1)/(4k)+(1)/(8k)+.........` `=(1)/(k)(1+(1)/(2)+(1)/(2^(2))+(1)/(2^(3))+........)` `(1)/(k)((1)/(1-(1)/(2)))=(2)/(k)` or `K=(k)/(2)=(10)/(2)=5N//m` |
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