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  • A  collar is attached to a spring of spring constant <img alt="800 \mathrm{~N} / \mat

A 8 \mathrm{~kg} collar is attached to a spring of spring constant 800 \mathrm{~N} / \mathrm{m} it slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 20 \mathrm{~cm} and released. The time period of oscillation is

Option: 1

\frac{\pi}{2}sec


Option: 2

\frac{\pi}{3}sec


Option: 3

\frac{\pi}{5}sec


Option: 4

\frac{\pi}{6}sec


Answers (1)

best_answer

\begin{aligned} & K=500 \mathrm{~N} / \mathrm{m} \\ & x=20 \mathrm{~cm} \end{aligned}

\begin{aligned} & T=2 \pi \sqrt{\frac{m}{K}} \\ & T=2 \pi \sqrt{\frac{8}{800}} \\ & T=2 \pi \sqrt{\frac{1}{100}} \\ & T=2 \pi \times \frac{1}{10} \\ & T=\frac{\pi}{5} \mathrm{sec} . \end{aligned}

 

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