A fixed weight suspended on a spring stretches it in the equilibrium position by a length \Delta l. What is the period of vertical oscillations of the load?

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    <h3> Statement </h3>
    <p>
        $3.2.2.$ A fixed weight suspended on a spring stretches it in the equilibrium position by a length $\Delta l$. What is the period of vertical oscillations of the load?
    </p>

    <h3>Solution</h3>
    <p>
        Period of oscillation of a spring pendulum

$$T=2\pi\sqrt{\frac{m}{k}}$$
Elastic force, restoring force:
$$F=-k\Delta l=mg\Rightarrow k=\frac{mg}{\Delta l}$$
The period of oscillation of a spring pendulum, being in the equilibrium position, is $\Delta l$
$$\boxed{T=2\pi\sqrt{\frac{m\Delta l}{mg}}=2\pi\sqrt{\frac{\Delta l}{g}}}$$

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	  Dzikan Mikita<br>
    </p>

    <h4>Answer</h4>
    <p>
        $$T=2\pi\sqrt{\frac{\Delta l}{g}}$$
    </p>


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