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PhysicsSHMMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

A particle of mass $m$ is acted upon by a force $F = t^{2} - k x$ . Initially, the particle is at rest at the origin. Then

Options:

Answer:

Solution:

$a = \frac{t^{2}}{m} - \frac{k}{m} x$

$\frac{d a}{d t} = \frac{1}{2} 2 t - \frac{k}{m} . \frac{d x}{d t}$

$\frac{d^{2} a}{d t^{2}} = \frac{2}{m} - \frac{k}{m} a$

$\frac{d^{2} a}{d t^{2}} + \frac{k}{m} a - \frac{2}{m} = 0$

This is second order differential equation for acceleration, hence $a$ will be in simple harmonic.

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:SHMSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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