First slide

Simple hormonic motion

Question

When a mass is hung by a spring, the spring stretches 6.0 cm. Determine its time period of vibration if it is then pulled down a little and released.

Moderate

A

0.58 s
B

0.98 s
C

0.49 s
D

0.39 s

Solution

$\begin{array}{l} k = \frac{F_{e x t}}{x} = \frac{m g}{0.06} \\ T = 2 π \sqrt{\frac{m}{k}} = 2 π \sqrt{\frac{0.06}{9.8}} = 0.49 s \end{array}$

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