for-the-following-exercises-calculate-the-center-of-mass-for-the-collection-of-masses-given-text-uni

Question

For the following exercises, calculate the center of mass for the collection of masses given.
$$ 	ext { Unit masses at }(x, y)=(1,0),(0,1),(1,1)$$

Vikash Ranjan · Accepted Answer

fine center mass expert on dhe. Why bar off the debt in a plane? So central mosque X bar. Why? But objects in a plane is given by thinks is given like this on DDE. Why is human like this Sigma? I was one toe end am I? Why I a bomb seeking my papa&#x27;s one toe and in my leaded equals True in one way one bless Doctor plus m anyway gone in one place dot a minute. So we know how to find the coordinates off center of mass X baron weapon. Now according to question, we have expanding wells one plus zero plus one A form two there is equal to a country. And why my England&#x27;s Jill? A blessed one plus one. A phone tree that is equal Do you want to be? Therefore we have expired. Why? But he goes to a country and to upon to this this is the answer to go into a problem

Amy Jiang · Answer

Okay, so we have someone is equal to one at all uncomfortable and into a difficulty for at zero comma one. Okay, so we have sort of a mess is equal to one times one was four times up over one plus four equals two safe. I just won and then see Oh, this is a center of S X for y boys. Well, that&#x27;s one time. So just four times One over one plus sport, which is being for over five. So I sent her a basset one. Calm if I won over five comma for over five.

Mauricio Araiza Canizales · Answer

So we&#x27;re given the following information. M one is equal to one, and it&#x27;s located at the 10.1 comma zero and then to sickle to four. And it&#x27;s located that went zero comma one. So if we just pro an axis according it access in place these two points, we have em one at one comma Syria, which is one right here a name to locate at zero comma one, which is this one right here. And with this information, we want to find the center for mass of the system. So you want to find its X and y coordinate. So we know that the X coordinate of the center of mass is gonna be the summation off I from one twin off m want Adams. A pie comes except by divided by the total must capital M and it&#x27;s white Coordinate. It&#x27;s gonna be the summation from Icicle to want to win off M one service from M I to why I we brought it again by the total mass of the system Capital M. So let&#x27;s first find the the total mass of the system. So in this case, we have m I Sorry, m one plus m took two. In this case, it&#x27;s gonna be fine. So the total mass of the system for this problem is gonna be five. Now, since we have any sequel to two will just be multiplying M one temps x one plus m took du temps except two. And this is gonna be the same for Why? So am someone. It&#x27;s gonna be one times except one is one plus four times our except to zero our m one for why it&#x27;s gonna be one and our white coordinates for this particular massacre of zero. Now we&#x27;ll have our master, which is four times or white coordinate for M two, which is one divided by five. This coordinate right here simplifies to one over five, and this one right here simplifies to for over five. So in this case, our center of mass is located at one divided by five coma for divided by five. And this is a solution to this question.

Vikash Ranjan · Answer

and we can find center of Mass is expert on my butt off objects in a plane just given by exploiters Given like this on DDE Why What is given like this? No, As for the question we have expired is equal to one into one plus three into two upon one blustery is people do seven a born for on DDE Why? What? He was one in the judo class trained to do bon for that is equal Do six upon for that gives us three by two So we have Finally it&#x27;s about anyway Bob as seven upon full on dhe three months. This is dancer to ligament problem.

Vikash Ranjan · Answer

in the ocean. It is even that sendoff mask X bye Off objects along a line is given by former lover Jeez, it&#x27;s not a request seeing Mom. I was one do and in my ex I a bomb sigma I was one and a mind that is equal Do a more next one blast off the dot class Eman ex in a bomb in one blast that dot bless em pen. No, this is the formula, which is they want to find out. Center of mass is X bob. So the question we have one in two minus one plus three in to do a bone one plus three that equals two minus. Find plastics e gratis. Find a phone for this is dancer given problem.

Amy Jiang · Answer

Okay, so we have. That&#x27;s someone is equal to two at X one is equal to one. And I&#x27;m too good for at X two is good sport our extra gym. Get your son of a mass e m. It&#x27;s a sequel to two times 14 times Chip over its You what? That gives me 10 over six, which is five over there.

Problem

For the following exercises, calculate the center…

Problem 257 Medium Difficulty

For the following exercises, calculate the center of mass for the collection of masses given.
$$ \text { Unit masses at }(x, y)=(1,0),(0,1),(1,1)$$

Answer

$\left(\frac{2}{3}, \frac{2}{3}\right)$

Related Courses

Calculus

Related Topics

Discussion

Top Calculus 2 / BC Educators

Grace H.

Catherine R.

Anna Marie V.

Joseph L.

Calculus 2 / BC Courses

Integration Review - Intro

Definite vs Indefinite

Recommended Videos

Watch More Solved Questions in Chapter 6

Video Transcript

Gilbert Strang

Calculus

Grace H.

Catherine R.

Anna Marie V.

Joseph L.

Integration Review - Intro

Definite vs Indefinite

What do you need help with?

Textbooks

Ask a question

Courses

AI Tutor

$\left(\frac{2}{3}, \frac{2}{3}\right)$

Calculus

Grace H.

Catherine R.

Anna Marie V.

Joseph L.

Integration Review - Intro

Definite vs Indefinite

Gilbert StrangCalculus

Grace H.

Catherine R.

Anna Marie V.

Joseph L.

Gilbert Strang

Calculus