First slide

Simple hormonic motion

Question

Three masses 0.1 kg, 0.3 kg and 0.4 kg are suspended at the end of the spring. When the 0.4 kg is removed, the system oscillates with a period of ‘2’ sec. When 0.3 kg mass is also removed, the system will oscillate with a period

Easy

A

1 sec
B

2 sec
C

3 sec
D

4 sec

Solution

$\large T\, = \,2\pi \sqrt {\frac{m}{K}} \, \Rightarrow \,2\, = \,2\pi \sqrt {\frac{{0.4}}{K}} \, \Rightarrow \,{T^1}\, = \,2\pi \sqrt {\frac{{0.1}}{K}}$
$\large \therefore \,\frac{2}{{{T^1}}}\, = \,\sqrt {\frac{{0.4}}{{0.1}}} \, = \,2\,\,\,\,\,\,\,\,\,\,\,\,{T^1}\, = \,1\sec$

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