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PhysicsSHMMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

Two springs are joined and attached to a mass of $16 kg$ . The system is then suspended vertically from a rigid support. The spring constant of the two springs are $k_{1}$ and $k_{2}$ respectively. The period of vertical oscillations of the system will be

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Answer:

Solution:

Here two springs are in series

$∴$ Effective spring constant is given by $\frac{1}{k} = \frac{1}{k_{2}} + \frac{1}{k_{2}}$

$\Rightarrow k = \frac{k_{1} k_{2}}{k_{1} + k_{2}}$

$∴$ Time period of oscilliation.

$T = 2 π \sqrt{\frac{m}{k}} = 2 π \sqrt{\frac{16}{k_{1} k_{2}} . (k_{1} + k_{2})}$

$= 8 π \sqrt{\frac{k_{1} + k_{2}}{k_{1} k_{2}}}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:SHMSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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