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(1) What are the $x, y,$ and $z$ components of the angular momentum of a particle located at $\vec{\mathbf{r}}=x \hat{\mathbf{i}}+y \hat{\mathbf{j}}+z \hat{\mathbf{k}}$which has momentum $\mathbf{p}=p_{x} \mathbf{i}+p_{y} \mathbf{j}+p_{z} \mathbf{k} ?$

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a) $L=r_{1} p=d m v$b) $L=0$

Physics 101 Mechanics

Chapter 11

Angular Momentum; General Rotation

Moment, Impulse, and Collisions

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Cornell University

Hope College

University of Winnipeg

McMaster University

Lectures

02:21

In physics, rotational dynamics is the study of the kinematics and kinetics of rotational motion, the motion of rigid bodies, and the about axes of the body. It can be divided into the study of torque and the study of angular velocity.

04:12

In physics, potential energy is the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units is the joule (J). One joule can be defined as the work required to produce one newton of force, or one newton times one metre. Potential energy is the energy of an object. It is the energy by virtue of an object's position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force which works against the force field of the potential. The potential energy of an object is the energy it possesses due to its position relative to other objects. It is said to be stored in the field. For example, a book lying on a table has a large amount of potential energy (it is said to be at a high potential energy) relative to the ground, which has a much lower potential energy. The book will gain potential energy if it is lifted off the table and held above the ground. The same book has less potential energy when on the ground than it did while on the table. If the book is dropped from a height, it gains kinetic energy, but loses a larger amount of potential energy, as it is now at a lower potential energy than before it was dropped.

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Okay, So in order to solve the first part from this problem, take a look at figure 11 point ex book. So you find that a victor is given by our victor. Cost me Mick. Therefore, from here we can ride the magnitude off l, which is the angle of momentum to the equal toe. Awful pindi. Quick dying. Speak on dhe eye popping the cleverest e here. And the momentum is given by mass times velocity on the direction off. The angular momentum is given by light and drool because of this cross product and that is going into the plane are into the screen off the page. Now, for the second part since the velocity and Momenta Victor's passed through wood ash Therefore now are Victor's on dhe be victor. I bottle it. This means that if you do a cross product now, this will come out to recede. All this means that are open Nicholas zero from here, this expression and therefore and is also zero

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