Obtain the dimensions of force constant in SHM. - Vidyadip

Question

Obtain the dimensions of force constant in SHM.

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Answer

$
\begin{aligned}
\text { [Force constant }] & =\frac{[\text { force }]}{[\text { displacement }]} \\
& =\frac{\left[ MLT ^{-2}\right]}{[ L ]}=\left[ MT ^{-2}\right]
\end{aligned}
$
[Note : The SI unit of force constant is the newton per metre $( N / m )$ while the cgs unit is the dyne per centimetre $( dyn / cm )$.]

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