Question 329: Oscillations

Question

A particle performing linear S.H.M. of amplitude $$0.1 \mathrm{~m}$$ has displacement $$0.02 \mathrm{~m}$$ and acceleration $$0.5 \mathrm{~m} / \mathrm{s}^2$$. The maximum velocity of the particle in $$\mathrm{m} / \mathrm{s}$$ is

Accepted Answer

$$\begin{aligned}
& 	ext { Acceleration } \mathrm{a}=\omega^2 \mathrm{x} \
& 	herefore \quad \omega^2=\frac{\mathrm{a}}{\mathrm{x}}=\frac{0.5}{0.02}=25 \
& 	herefore \quad \omega=5 \mathrm{rad} / \mathrm{s} \
& \quad \mathrm{V}_{\max }=\mathrm{A} \omega^2=0.1 	imes 5=0.5 \mathrm{~m} / \mathrm{s}
\end{aligned}$$

Answer

0.05

Answer

0.50

Answer

0.01

Answer

0.25

Oscillations

A particle performing linear S.H.M. of amplitude $0.1 \mathrm{~m} has displacement 0.02 \mathrm{~m} and acceleration 0.5 \mathrm{~m} / \mathrm{s}^2. The maximum velocity of the particle in \mathrm{m} / \mathrm{s}$ is

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