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  • A block is restricted to move in a smooth groove. It is connected to a spring of spring constant K. Neglecting the effect of gravity block is allowed to oscillate along the groove. Time period of s

A block is restricted to move in a smooth groove. It is connected to a spring of spring constant K. Neglecting the effect of gravity block is allowed to oscillate along the groove. Time period of small oscillations of block will be

Option: 1

2\pi \sqrt{\frac{m}{k}}


Option: 2

\frac{2\pi}{\sin \theta}\sqrt{\frac{m}{k}}


Option: 3

\frac{2\pi}{\cos \theta}\sqrt{\frac{m}{k}}

 


Option: 4

2\pi\sqrt{\frac{m \cos \theta}{k}}


Answers (1)

best_answer

Answer (3)

\\F_{net}=ma\\k\left (x \cos \theta \right )\cos \theta=-ma

\Rightarrow a=-\frac{k \cos^{2}\theta}{m}x

\omega =\sqrt{-\frac{k \cos^{2}\theta}{m}}

\Rightarrow T=\frac{2\pi }{\cos \theta}\sqrt{\frac{m}{k}}

Posted by

Ritika Kankaria

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