Question 334: Oscillations

Question

A particle performing S.H.M. when displacement is '$$x$$', the potential energy and restoring force acting on it are denoted by '$$E$$' and '$$F$$' respectively. The relation between $$x, E$$ and $$F$$ is

Accepted Answer

$$
\begin{aligned}
& \quad \mathrm{E}=\frac{1}{2} k x^2 ; \quad \mathrm{F}=-\mathrm{kx} \
& 	herefore \quad 2 \mathrm{E}=\mathrm{kx}^2 \
& 	herefore \quad \frac{2 \mathrm{E}}{\mathrm{F}}=-\mathrm{x} \
& 	herefore \quad \frac{2 \mathrm{E}}{\mathrm{F}}+\mathrm{x}=0
\end{aligned}
$$

Answer

$$\frac{2 E}{F}-x^2=0$$

Answer

$$\frac{2 \mathrm{E}}{\mathrm{F}}+\mathrm{x}^2=0$$

Answer

$$\frac{2 E}{F}+x=0$$

Answer

$$\frac{2 E}{F}-x=0$$

Oscillations

A particle performing S.H.M. when displacement is '$x', the potential energy and restoring force acting on it are denoted by 'E' and 'F' respectively. The relation between x, E and F$ is

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