First slide

Applications of SHM

Question

Two springs of force constants K and 2K are connected to a mass as shown below. The frequency of oscillation of the mass is

Moderate

A

$(1 / 2 π) \sqrt{(K / m)}$
B

$(1 / 2 π) \sqrt{(2 K / m)}$
C

$(1 / 2 π) \sqrt{(3 K / m)}$
D

$(1 / 2 π) \sqrt{(m / K)}$

Solution

$n = \frac{1}{2 π} \sqrt{\frac{K_{effective}}{m}} = \frac{1}{2 π} \sqrt{\frac{(K + 2 K)}{m}} = \frac{1}{2 π} \sqrt{\frac{3 K}{m}}$

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