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Physics - SHM Question with Solution | TestHub

PhysicsSHMMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

Two point masses of $3.0 k g$ and $1.0 k g$ are attached to opposite ends of a horizontal spring whose spring constant is $300 N m^{- 1}$ as shown in the figure. The natural vibration frequency of the system is of the order of :

Options:

Answer:

Solution:

$T = 2 π \sqrt{\frac{μ}{k}}$

$μ = \frac{m_{1} m_{2}}{m_{1} + m_{2}}$

$μ = \frac{1 \times 3}{1 + 3} = \frac{3}{4}$

$ν = \frac{1}{T} = \frac{1}{2 π} \sqrt{\frac{k}{μ}}$

$ν = \frac{1}{2 π} \sqrt{\frac{300 \times 4}{3}} = \frac{10}{π} \approx 3$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:SHMSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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