Question

$\bold {heya!}$
If a spring has time period T, and is cut into n equal parts then the time period of each part will be?
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Answer 1

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$\bold{Note:-}$


$\bold{We\:know\:that:-}$


Spring constant of spring is inversely proportional to length of spring.


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$\bold{Now,}$


For a spring,


$T = 2\pi \sqrt{ \frac{m}{k} }$


For each piece, the spring constant is:-


$nk$


$\bold{Therefore,}$


$T' = 2\pi \sqrt{ \frac{m}{nk} }$


$T' = 2\pi \sqrt{ \frac{m}{k} } \times \frac{1}{ \sqrt{n} }$


$T' = \frac{t}{ \sqrt{n} }$


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Answer 2

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$\huge{\mathfrak {\green{\underline{Answer:-}}}}$

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For a spring ,T=2π√m/√k

.for each piece ,spring constant =nk

..hence, T =√m/√nk

T'= 2π√m/√k into 1/√n

=T/√n......answer

I hope it helps you..... thanks

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