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Physics - Rotation Question with Solution | TestHub

PhysicsRotationTorque / angular accelerationEasy2 minPYQ_2020

PhysicsEasysingle choice

A rod of mass $m$ and length $l$ is hinged at one of its end $A$ as shown in figure. A force $F$ is applied at a distance $x$ from $A$ . The acceleration of the centre of mass $(a)$ varies with $x$ as -

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Answer:

Solution:

The rod will rotate about point $A$ with angular acceleration:

$α = \frac{τ}{I} = \frac{F x}{\frac{m l^{2}}{3}} = \frac{3 F x}{m l^{2}}$

$∴ a = \frac{l}{2} α = \frac{3}{2} \frac{F x}{m l}$

or $a \propto x$

i.e., $a - x$ graph is a straight line passing through the origin.

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:RotationSubtopic:Torque / angular acceleration

⏱ 2mℹ️ Source: PYQ_2020

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