A ball of mass m moving with velocity v , collide with wall elastically as shown in figure.After imp

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6.System of Particles and Rotational Motion

medium

$A$ ball of mass $m$ moving with velocity $v$, collide with the wall elastically as shown in the figure.After impact the change in angular momentum about $P$ is:

$2\, mvd$

$2\, mvd\, cos\theta$

$2\, mvd \,sin \theta$

zero

Solution

There is a change of velocity only in the $x$ direction, thus angular momentum also changes in $x$ direction only. The initial angular momentum in $x$ direction is $mvdcos\theta .$ And since the collision involved is perfectly elastic, thus the change in momentum is simply twice the initial momentum i.e. $2$ $mvdcos\theta$

Standard 11

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medium

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$A$ ball of mass $m$ moving with velocity $v$, collide with the wall elastically as shown in the figure.After impact the change in angular momentum about $P$ is:

Solution

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A small particle of mass $m$ is projected at an angle $\theta $ with the $x-$ axis with an initial velocity $v_0$ in the $x-y$ plane as shown in the figure. At a time $t < \frac{{{v_0}\,\sin \,\theta }}{g}$, the angular momentum of the particle is

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