Angular Momentum

A planet of mass $m$ is in an elliptical orbit about the sun $\left(m<<M_{\text{sun}}\right)$ with an orbital period $T$. If $A$ be the area of orbit, then its angular momentum would be

Consider a particle of unit mass being thrown with an initial velocity $v_0$ making an angle $\varphi$ with the horizontal ground. What is the magnitude of the angular momentum of the particle about the point of projection at a time $t$ after its projection while it is in fight?

Particles of mass $m_1$ and $m_2$ initially sitting at the same position, start moving simultaneously at $t=0$ with velocities $v_1$ and $v_2$, respectively. After a time $t=t_0$ the angular momentum of the particle of mass ${\mathrm{m}}_2$ with respect to the particle of mass $m_1$ is

A planet of mass $m$ moves in an elliptical path around the Sun (which is at one of the foci of the ellipse), so that its maximum and minimum distances from the Sun are $r_{\max }$ and $r_{min }$, respectively. Taking the gravitational constant to be $G$ and the mass of the Sun to be $M_s$, what is the angular momentum of the planet relative to the centre of the Sun?

A bob of mass m attached to an inextensible string of length $l$ is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed $\omega$ rad/s about the vertical. About the point of suspension :

Given $\overrightarrow{r}=4\widehat{\mathrm{j}}$ and $\overrightarrow{p}=2\widehat{\mathrm{i}}+3\widehat{\mathrm{j}}+\widehat{\mathrm{k}}$ . The angular momentum is

Which of the following physical quantity is represented by the product of the moment of inertia and angular velocity? 

A ball of mass $160 \mathrm{g}$ is thrown up at an angle of $60°$ to the horizontal at a speed of $10 \mathrm{m} {\mathrm{s}}^{-1}$. The angular momentum of the ball at the highest point of the trajectory with respect to the point from which the ball is thrown is nearly $\left(\mathrm{g}=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

An object of mass $2 \mathrm{kg}$ is projected from ground, with initial velocity $40 \mathrm{m} {\mathrm{s}}^{-1}$, making angle $60°$ with the horizontal. Find its angular momentum about the point of projection when the object is at its maximum height. (Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)

A particle of mass $10 \mathrm{g}$ starts from rest at $\mathrm{t}=0 \mathrm{s}$ from a point $(0\mathrm{m}, 4\mathrm{m})$ and gets accelerated at $0.5 \mathrm{m}/{\mathrm{s}}^2$ along $x-\sqrt{3}y+4\sqrt{3}=0$ in $XY$ plane. The angular momentum of the particle about the origin (in SI units ) at $\mathrm{t}=2 \mathrm{s}$ is

Assertion : The net momentum of a system of two moving particles is zero. Then at a particular instant of time, the net angular momentum of system of given two particle is same about any point.

Reason : If net momentum of a system of two moving particle is zero, then angular momentum of system of given two particles is zero about any point.

An object of mass $2 \mathrm{kg}$ is projected from ground, with initial velocity $40 \mathrm{m} {\mathrm{s}}^{-1}$, making angle $60°$ with the horizontal. Find its angular momentum about the point of projection when the object is at its maximum height. (Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)

A ball of mass $200 \mathrm{g}$ is thrown directly upward from $X-$axis from $x=2 \mathrm{m}$ position. The initial speed of the ball is $40 \mathrm{m} {\mathrm{s}}^{-1}.$ The magnitude (absolute value) of the angular momentum of the ball about the origin $\left(x=0\right),$ when the ball is halfway back to the ground is:

An object of mass $2 \mathrm{kg}$ is moving with a uniform velocity of $2 \mathrm{m} {\mathrm{s}}^{-1}$ parallel to the $Y-$direction. At the time of $t=0$ s the particle is located on the $X-$axis $3$ meters away from the origin $0,$ then the angular momentum (in ${\mathrm{kgm}}^2 {\mathrm{s}}^{-1}$) about $0$ at $t=4 \mathrm{s}$ is

A particle of mass $m$ is projected from point $P$ on the ground with initial speed $v$ at an angle $\theta$ with horizontal. Find the angular momentum of particle w.r.t. point $P$ when it is at highest point of its trajectory.

A small particle of mass $m$ is projected at an angle $\theta$ with the 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 

Which physical quantity is represented by the product of linear momentum and distance?

The moment of momentum is called

Which of the following physical quantity is represented by the product of the moment of inertia and angular velocity? 

What is the angular momentum of a particle of mass $M$ w.r.t. origin if it is moving with constant velocity parallel to $x$ -axis  ?