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  • A block of a mass 2 kg is attached with two identical springs of spring constant 20 N/m each. The block is placed on a frictionless surface and the ends of the springs are attached to rigid support

A block of a mass 2 kg is attached with two identical springs of spring constant 20 N/m each. The block is placed on a frictionless surface and the ends of the springs are attached to rigid supports (see figure). When the mass is displaced from its equilibrium position, it executes a simple harmonic motion. The time period of oscillation is \frac{\pi }{\sqrt{x}} in SI unit. The value of x is ________

Option: 1

5


Option: 2

__


Option: 3

__


Option: 4

__


Answers (1)

best_answer

\begin{aligned} & T=2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{k}_{e q}}} \\ & T=2 \pi \sqrt{\frac{2}{2 k}} \Rightarrow T=2 \pi \sqrt{\frac{1}{20}} \\ & T=\frac{\pi}{\sqrt{5}} \end{aligned}

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Rishabh

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