A ball of mass m moving with velocity v colli | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The angular momentum $L$ of a particle about a point $P$ is given by $L = r 	imes p$,where $r$ is the position vector and $p$ is the linear momen

Vedclass · Accepted Answer

$2mvd \cos 	heta$

Vedclass · Answer

(B) The angular momentum $L$ of a particle about a point $P$ is given by $L = r 	imes p$,where $r$ is the position vector and $p$ is the linear momentum.For a particle moving with velocity $v$ at an angle $	heta$ with the horizontal,the perpendicular distance from point $P$ to the line of motion is $d \cos 	heta$.Initial angular momentum $L_i = m v (d \cos 	heta)$ (in the clockwise direction).Since the collision is perfectly elastic,the ball rebounds with the same speed $v$ at the same angle $	heta$ with the horizontal.Final angular momentum $L_f = -m v (d \cos 	heta)$ (in the counter-clockwise direction).The change in angular momentum $\Delta L = L_f - L_i = -m v d \cos 	heta - (m v d \cos 	heta) = -2m v d \cos 	heta$.The magnitude of the change in angular momentum is $2mvd \cos 	heta$.

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

Similar Questions

$A$ constant torque of $200 \, N-m$ turns a flywheel, which is at rest, about an axis through its centre and perpendicular to its plane. If its moment of inertia is $50 \, kg-m^{2}$, then in $4 \, s$, what will be the change in its angular momentum?

$A$ particle of mass $m$ moves with a velocity $v$ along the line $PC$ as shown in the figure. What is the angular momentum of the particle about $O$?

$A$ 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

Identify the vector quantity among the following.

As shown in the figure,a particle of mass $m$ moves with a velocity $v$ along the line $PC$. What is the angular momentum of this particle with respect to point $P$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module