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A particle of mass $1.00 \mathrm{~kg}$ is moving with velocity $\vec{v}=(7.0 \mathrm{i}+6.0 \mathrm{j}) \mathrm{m} / \mathrm{s} . \quad(a)$ Find the angular momentum1. relative to the origin when the particle is at $\overrightarrow{\mathbf{r}}=(2.0 \mathbf{j}+4.0 \mathbf{k}) \mathrm{m}$(b) At position $\overrightarrow{\mathbf{r}}$ a force of $\mathbf{F}=4.0 \mathrm{Ni}$ is applied to the particle. Find the torque relative to the origin.

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$\mathrm{CM}=(1.2 \mathrm{m}) \hat{\mathrm{i}}-(1.2 \mathrm{m}) \hat{\mathrm{j}}$

Physics 101 Mechanics

Chapter 9

Linear Momentum

Motion Along a Straight Line

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

Rutgers, The State University of New Jersey

Simon Fraser University

Hope College

University of Winnipeg

Lectures

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

03:47

In physics, the kinetic energy of an object is the energy which it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body in decelerating from its current speed to a state of rest. The kinetic energy of a rotating object is the sum of the kinetic energies of the object's parts.

03:10

A particle of mass $1.00 \…

02:11

A particle of mass 1.00 $\…

05:02

A particle of mass 1.40 kg…

02:20

A particle of mass 5.0 kg …

02:23

At a particular instant, a…

09:19

At time $t=0$, a $3.0 \mat…

06:24

At time $t=0$, a $2.0 \mat…

A $4.0 \mathrm{~kg}$ parti…

05:11

A $3.0 \mathrm{~kg}$ parti…

09:36

A $2.0 \mathrm{~kg}$ parti…

06:38

At one instant, force $\ve…

02:26

At time $t,$ the vector $\…

04:37

Angular MomentumA 2.0 …

Okay, so we're in chapter nine Problems. 65 here. So we have a square uniform raft. That's 18 by 18 meters. And it has a total mass. Big in love, 6200 kilograms. And this is a ferryboat. And it says if three cars each of mass 13 50 kilograms occupy the northeast southeast southwest corners, determine the center mass of the loaded ferryboat relative to the center of the graph. Okay, so we're gonna take the center of the raft as our origin here has shown here in the ex wife, as it said, because it wants the relative to center. Huh? So we can find the center of mass and old positions. Expert little coordinates X. And why? And that will be our X and y coordinate of the center of mass. Okay, so let's go ahead and figure this out. We already know that the mass of the er the young yeah, the mass of the raft or ferry boat is uniformity. Says so. That won't contribute to this nerve gas in the numerator. It will in the denominator, because it is part of the objects of the total mess. Because we do need that But since it's all uniform, you can consider all the mass of the ferryboat is canceling each other out. So slept center of mass of the ferryboat. No cars weren't. It would already be at the origin anyway. So our equation now becomes 13 50 kilograms for a mass and now we just take it by time. So we have two cars that are in the positive X direction nine meters so we can go ahead and say to at nine meters and we have one that is that negative nine years. So we can add 13 50 terms, one at negative nine. And we divide this by the total mass, which was three times 13. 50 plus the mess of the, uh, raft or the very So If we plug all that in, we see that the center of mass of the ex direction is 1.2 meters in the positive X directions. That would be somewhere like here. Okay, so we could do the same thing in the UAE direction. We should see that there is one car in the positive law direction, which is that nine meters and there's two cars at the negative nine meter Patricia. Okay, Now we have divided by the total mass, which is three of the car mass, plus the mass of the raft. And if we plug? Listen, we see this comes up being negative 12 years, so that means our exit our mass vector is that one point 1.2? I had a minus one point to Jae Ha. And these are leaders. There's our senator mess. Awesome.

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