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Physics - Rotation Question with Solution | TestHub

PhysicsRotationCollision in RotationEasy2 minPYQ_2020

PhysicsEasysingle choice

A uniform rod $AB$ of length $L$ and mass $M$ is lying on a smooth table. A small particle of mass $m$ strikes the rod with velocity $V_{0}$ at point $C$ at a distance $x$ from the centre $O$ . The particle comes to rest after collision. If the value of $x$ , so that the point $A$ of the rod remains stationary just after the collision, is $L / n$ , then find $n$ .

Options:

Answer:

Solution:

mv_o= MV_cm $\Rightarrow$ V_cm= mv_o/M
mv_ox = $\frac{1}{12} M L^{2} ω \Rightarrow ω = \frac{12 m v_{o} x}{M L^{2}}$
$V_{A G} = 0 \Rightarrow V_{A C} + V_{C G} = 0$
$\Rightarrow - ω \frac{L}{2} + \frac{m v_{o}}{M} = 0 \Rightarrow \frac{m v_{o}}{M} = \frac{12 m v_{o} x}{M L^{2}} \times \frac{L}{2}$
$\Rightarrow$ x = L/6

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:RotationSubtopic:Collision in Rotation

⏱ 2mℹ️ Source: PYQ_2020

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