What is the period of small oscillations of the block of mass $m$ if the springs are ideal and pulleys are massless ?
What is the period of small oscillations of the block of mass $m$ if the springs are ideal and pulleys are massless ?
- A
$\frac{\pi }{2}\sqrt {\frac{m}{k}}$
- B
$\frac{\pi }{2}\sqrt {\frac{m}{2k}}$
- C
$\frac{\pi }{2}\sqrt {\frac{2m}{k}}$
- D
$\pi \sqrt {\frac{m}{{2k}}}$
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$(A)$ the speed of the particle when it returns to its equilibrium position is $u_0$.
$(B)$ the time at which the particle passes through the equilibrium position for the first time is $t=\pi \sqrt{\frac{ m }{ k }}$.
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- [IIT 2013]
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