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

Physics

A particle of mass $m = 5$ is moving with a uniform speed $v = 3\sqrt 2$ in the $XOY$ plane along the line $Y = X + 4$ . The magnitude of the angular momentum of the particle about the origin is …….

medium

(AIPMT-1991)

A particle is moving along a straight line parallel to $x-$ axis with constant velocity. Its angular momentum about the origin

easy

A particle moves in a circular path with decreasing speed. Choose the correct statement.

medium

(IIT-2005)

A ball of mass $160\, g$ is thrown up at an angle of $60^o$ to the horizontal at a speed of $10\, m\,s^{-1}$ . The angular momentum of the ball at the highest point of the trajectcry with respect to the point from which the ball is thrown is nearly …….. $kg\, m^2/s$ $(g\, = 10\, m\,s^{-2})$

hard

(JEE MAIN-2014)

Define angular momentum.

easy

$A$ 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

Similar Questions

A particle of mass $m = 5$ is moving with a uniform speed $v = 3\sqrt 2$ in the $XOY$ plane along the line $Y = X + 4$ . The magnitude of the angular momentum of the particle about the origin is …….

A particle is moving along a straight line parallel to $x-$ axis with constant velocity. Its angular momentum about the origin

A particle moves in a circular path with decreasing speed. Choose the correct statement.

A ball of mass $160\, g$ is thrown up at an angle of $60^o$ to the horizontal at a speed of $10\, m\,s^{-1}$ . The angular momentum of the ball at the highest point of the trajectcry with respect to the point from which the ball is thrown is nearly …….. $kg\, m^2/s$ $(g\, = 10\, m\,s^{-2})$

Define angular momentum.

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