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| <h3 id="back-link"><a href="../../#3.2">$\leftarrow$Back</a></h3> | | <h3 id="back-link"><a href="../../#3.2">$\leftarrow$Back</a></h3> |
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| <h3> Statement </h3> | | <h3> Statement </h3> |
| <p> | | <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? | | $3.2.2.$ 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> | | </p> |
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| <h3>Solution</h3> | | <h3>Solution</h3> |
| <p> | | <p> |
| Period of oscillation of a spring pendulum | | Period of oscillation of a spring pendulum |
| $$ T=2\pi\sqrt{\frac{m}{k}} $$ | | $$ T=2\pi\sqrt{\frac{m}{k}} $$ |
| Elastic force, restoring force: | | Elastic force, restoring force: |
| $$ F=-k\Delta l=mg\Rightarrow k=\frac{mg}{\Delta l} $$ | | $$ F=-k\Delta l=mg\Rightarrow k=\frac{mg}{\Delta l} $$ |
| The period of oscillation of a spring pendulum, being in the equilibrium position, is $\Delta l$ | | The period of oscillation of a spring pendulum, being in the equilibrium position, is $\Delta l$ |
| $$ \boxed{T=2\pi\sqrt{\frac{m\Delta l}{mg}}=2\pi\sqrt{\frac{\Delta l}{g}}} $$ | | $$ \boxed{T=2\pi\sqrt{\frac{m\Delta l}{mg}}=2\pi\sqrt{\frac{\Delta l}{g}}} $$ |
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| Dzikan Mikita<br> | | Dzikan Mikita<br> |
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| <h4>Answer</h4> | | <h4>Answer</h4> |
| <p> | | <p> |
| $$T=2\pi\sqrt{\frac{\Delta l}{g}}$$ | | $$T=2\pi\sqrt{\frac{\Delta l}{g}}$$ |
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