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Question

As shown in the figure, a spring is kept in a stretched position with some extension by holding the masses 1 kg and 0.2 kg with a separation more than spring natural length and are released. Assuming the horizontal surface to be frictionless, the angular frequency (in SI unit) of the system is :

Options

A.30
B.27
C.20
D.5

Solution

$\mu = \frac{m_{1}{\text{ }m}_{2}}{{\text{ }m}_{1} + m_{2}} = \frac{1 \times 0.2}{1.2}$

$${\mu = \frac{1}{6} }{\omega = \sqrt{\frac{k}{\mu}} = \sqrt{\frac{150}{1/6}} = 30}$$

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