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  • In the device shown, find the time period of small vertical oscillations of the block. All the spring are massless and block is of mass M. <img alt="" src="https://cdn.entrance360.com/med

In the device shown, find the time period of small vertical oscillations of the block. All the spring are massless and block is of mass M.

Option: 1

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


Option: 2

\pi \sqrt{\frac{M}{k}}


Option: 3

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


Option: 4

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


Answers (1)

best_answer

The effective force constant

k_e=\frac{(k+k)}{\substack{\text { vertical } \\ \text { springs }}}+\frac{2(2 k) \cos ^2 45^{\circ}}{\text { Inclined springs }}

\begin{aligned} & k_e=2 k+2 \times 2 k \times \frac{1}{2} \\ & k_e=4 k . \end{aligned}

\text { Time pesiod, } T=2 \pi \sqrt{\frac{M}{4 k}}

T=\pi \sqrt{\frac{M}{k}}

Posted by

Gaurav

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