First slide

Applications of SHM

Question

The frequency of oscillation of the springs shown in the figure will be

Moderate

A

$\frac{1}{2 π} \sqrt{\frac{K}{m}}$
B

$\frac{1}{2 π} \sqrt{\frac{(K_{1} + K_{2}) m}{K_{1} K_{2}}}$
C

$2 π \sqrt{\frac{K}{m}}$
D

$\frac{1}{2 π} \sqrt{\frac{K_{1} K_{2}}{m (K_{1} + K_{2})}}$

Solution

$n = \frac{1}{2 π} \sqrt{\frac{k_{eq}}{m}} = \frac{1}{2 π} \sqrt{\frac{k_{1} k_{2}}{(k_{1} + k_{2}) m}}$

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