Question

In the given diagram S$_1$ and S$_2$ are identical springs. The frequency of oscillation of the mass III is.f If one of the springs is removed. the frequency will be

• A. f
• B. 2f
• C. $\sqrt 2f$
• D. $\frac{f}{\sqrt 2}$

Answer 1

Answer: (C)

$\sqrt 2f$

Answer 2

Effective spring factor, k = 2k
Frequency of oscillation , $f=\frac{1}{2\pi}\frac{\sqrt 2K}{m}$
.when one spring is removed, then spring factor = k
New frequency of oscillation
$\, \, \, \, \, \, \, \, \, \, \, f' =\frac{1}{2\pi}\sqrt{\frac{k}{m}} =\frac{f}{\sqrt 2}$