First slide

Simple hormonic motion

Question

A spring balance has a scale that reads 0 to 20 kg. The length of the scale is 10 cm. A body suspended from this balance, when displaced and released, oscillates with period of $\large \frac{\pi }{{10}}\sec$ . What is the mass of the body

Moderate

A

4.9 kg
B

9.8 kg
C

19.6 kg
D

14.7 kg

Solution

$\large K\, = \frac{{mg}}{x}\, = \,\frac{{20 \times 9.8}}{{10 \times {{10}^{ - 2}}}}\, = \,19.6 \times {10^2}N/m$
$\large \frac{T}{{2\pi }}\, = \,\sqrt {\frac{m}{K}}$
m = 4.9 Kg

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