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(II) Determine the angular momentum of a $75-$ particle aboutthe origin of coordinates when the particle is at $x=4.4 \mathrm{m},$$y=-6.0 \mathrm{m},$ and it has velocity $v=(3.2 \mathrm{i}-8.0 \mathrm{k}) \mathrm{m} / \mathrm{s}$

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$(3.6 \hat{\mathbf{i}}+2.6 \hat{\mathbf{j}}+1.4 \hat{\mathbf{k}}) \mathrm{kg} \cdot \mathrm{m}^{2} / \mathrm{s}$

Physics 101 Mechanics

Chapter 11

Angular Momentum; General Rotation

Moment, Impulse, and Collisions

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

University of Washington

Simon Fraser University

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.

Determine the angular mome…

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A 0.2-kg particle is trave…

03:30

A particle is at the posit…

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A 1.50 -kg particle moves …

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04:09

A particle of mass $m$ is …

07:52

A particle of mass $m$ mov…

01:54

(II) A particle is at the …

02:42

05:20

Calculate the angular mome…

02:01

08:36

A particle with a mass of …

So let's light no position. Vector on velocity director first. So position Rector's Open fall. I cap minus 60 cap and there is no component. Ah, in the Kate directionless. So this baby's seok cap and we'll do the stain on the velocity vector and there is no component of velocity in the jet direction. So on the last will be he'd kick it. Negative eight cap. And this is in units off. Neeta Angus is in itself. Meet up a second. Now we use 11 question 11.6 to calculate the angular momentum. So we have to be quick to cross product off our cross speed and we know that B, which is the momentum, is equal to mass times velocity. I must. Being a scholar can go. We can take it out off the cross product. So this is the expression that we finally at exact on Dhe were given moss to the equal dope 75 grams with physical to 0.75 Fugees. Now we use the determinant, Roy, so our cross V will then be equal to I give Jake a good pick up the components off AJ on DDE gone from itself be respectively. Let's try down the units now. So Mita Times, meet up a second. This will make a scrap us again. Don't get confused with this Aim and send. This is Ah, the variable loss. And this is the unique meters. Now we can solve this Ah expression using the determinant rule and applying the value off mass using the value off Mars to be 75 grams on DDE. Finally, the arrive at this expression just the moss on the cross product off. This will be quickly Die gap nous at the five going do takeout. Yes, 19.2. Kitty Cat Don't scratch for a second. Now we can solve this question to find the Anglo Momentum vector. So this will be quick. She points excite cabbages, this stone here times 48 second don't will be lost times the dead gone on nto and we do the same for the kid's component on the units. For this will be kg times need a script for a second. It is the unit of angular momentum

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