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Physics
Initially system is in equilibrium. Time period of SHM of block in vertical direction is: <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-sstnwi7u6xiinxhi.jpg />
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Q. Initially system is in equilibrium. Time period of SHM of block in vertical direction is :
NTA Abhyas
NTA Abhyas 2022
A
$2\pi \sqrt{\frac{m}{3 k}}$
B
$2\pi \sqrt{\frac{m}{2 k}}$
C
$2\pi \sqrt{\frac{m}{k}}$
D
$2\pi \sqrt{\frac{2 m}{k}}$
Solution:
Net vertical force $=kx+\frac{k x}{\sqrt{2}}cos45\times 2=2kx=ma$
$a=\frac{2 k}{m}x$
$\Rightarrow \omega =\sqrt{\frac{2 k}{m}}$
$\tau=2\pi \sqrt{\frac{m}{2 k}}$
