Question 284: Oscillations

Question

A body of mass $$0.04 \mathrm{~kg}$$ executes simple harmonic motion (SHM) about $$\mathrm{x}=0$$ under the influence of force $$\mathrm{F}$$ as shown in graph. The period of

Accepted Answer

$$\begin{aligned}
& \mathrm{k}=400 \mathrm{~N} / \mathrm{m} \\
& \mathrm{m}=0.04
\end{aligned}$$
From the graph,
$$\mathrm{K}=\frac{\mathrm{F}}{\mathrm{x}}=\frac{8}{2}=4$$
From $$\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{M}}{\mathrm{K}}}$$,
we get
$$\mathrm{T}=2 \pi \sqrt{\frac{0.04}{4}}=0.2 \pi \mathrm{s}$$

Answer

$$2 \pi \mathrm{s}$$

Answer

$$0.2 \pi \mathrm{s}$$

Answer

$$\pi \mathrm{d}$$

Answer

$$\frac{\pi}{2} \mathrm{~s}$$

Oscillations

A body of mass $0.04 \mathrm{~kg} executes simple harmonic motion (SHM) about \mathrm{x}=0 under the influence of force \mathrm{F}$ as shown in graph. The period of

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