for-the-following-exercises-compute-the-center-of-mass-overlinex-rhosin-x-text-for-x-in0-pi

Question

For the following exercises, compute the center of mass $\overline{x} .$
$$
ho=\sin x 	ext { for } x \in(0, \pi)
$$

Vikash Ranjan · Accepted Answer

Mass X bar, often in double. It&#x27;ll be with Drew. X is going by. It&#x27;s funny, Woz, Indication off x o x t x The limit is going to be a bon indication. It will limit right sticks. So about in the question we have, it&#x27;s about Nikolas and aggression out Deal by. It&#x27;s a sign x d x bon. You do this and you know Tobias sine x the ex So it&#x27;s Senate integration can be solved using I let formula which states in last long with me. All right, they want to come in experiential. So we have a liver I can do and you&#x27;re handsome. So for us to fancy needs our all right friends and second Francini John, look do limited funds on. Therefore, we have this ass X into minus call sex minus India dear to buy one in tow minus Got six d X bone minus. Call six year Do fine, father. Indicating your band This equals my list sticks call six plus sign Next You&#x27;re too by the limit side on minus car sex. I didn&#x27;t buy it for The more we have, he was minus by costs by bless signed by minus minus didn&#x27;t. Because in judo class, sign Joe. A bone minus caused by minus cost. Joe, this is Eagle Do Minus buy into minus one plus Geno minus zero plus geo upon minus minus one minus one. This is eagle into Bye. Less judo A von d&#x27;oh! So we are Bend Ex Body Quest. Bye upon the sedan PSA to a given problem.

Vikash Ranjan · Answer

in the oceans and Europe. Moss export often interval you to be with Rex is given by expert equals Diggle Off. It&#x27;ll be ex Drax dears. Abound in traditionally to be upstairs? No, but in the question we have to find expire four. They even hostilities do. Listen, dear, do Bye. Extended necks signings DX as here are always given exciting X. So this is doing buying big addition. It&#x27;s scientist sticks. So this is our first integral. This is our second and digger. Now we absolve agent zero one by one I&#x27;m here the desired result. So first of all, we ever take the first part which is soon like this. This is I want just equal do indeed, dear. Bye. It&#x27;s a squad Sinus d s. This is equal to x Esquire minus car sex. First of all, we like us. You know this is ugh. This is vey where you is The right front son. Andi is trig along Magic Frandsen This integration he started abusing violet formula eyes in worse for lovely making for the right time for dinner together for experiencia. So first of all we have are the right friend son, So use of the right friends and released Dramatic fancy minus indeed. The law Durex Indigo signing digs. This is equal. Do minus six Iscar Koszics my nest Do it isn&#x27;t off minus six. Got 60 X. We have after these as minus X s squad concepts plus doing Diggle off X call 60 x So for for forming this part, we have this ass the Houston office concepts the end. This is also solved using islet formula Because we&#x27;re having I&#x27;ll be right down. You&#x27;re the fun son. So this is a desert like this x and do Sinus miners one in tow. Sonics T X is equal. Do ex signings Bless call six. So overall we have this integration equals minus. It&#x27;s a squad Koszics plus doing to X sine X plus called Sextus equals minus six is God car sex plus two x sine x plus two koszics. So we&#x27;ll apply the limits here, dear. Bye. And now, after blindly meat, we open this ass minus by a squad caused by bless to buy Signed by glass Do cost by minus. My Assyria blasted a plus to costs Joe, this is Eagle No. Minus by squad into minus one. Blessed do you know? Plus do into minus. Wanna minus doing? 21 this is Eagle do by a squad minus do glass. Cy, this is often minus two. This is Eagle Do by a squad of minus four. Now this again, Bart. Off in delusion, ese. Integrate off little by next sign. X d x. This is giving us Thanks. Don&#x27;t mind us. Car sex minus in. Tegel off. One in tow. Minus koszics DX. This is equal to minus six. Gone. Six. Yes. Sine x didn&#x27;t go by. Does it given us? Minus buying. Cost by less. Signed by minus my acid. Or plus Dido. This is equal, though minus find two minus one plus Jiro Miners. D&#x27;oh! This equal Dubai? Yeah, for overall, it&#x27;s Barry gums. I am India, someone of on and you shouldn&#x27;t do. This is equal do bias part Plus for a phone. Sorry. The day&#x27;s price for minus for you. You&#x27;re disbarred for minus four. So here it is, minus a bone fight. So this is that a joke? I didn&#x27;t answer for the given problem.

Amy Jiang · Answer

Okay, so we have explore is equal to any girl from Joe to fly over to ex co sign of X the X over Integral from certified over to CO sign X. The X is equal to X sign of express co sign of X over sign next value that fire with you and John can&#x27;t. So we get higher. Ritsu plus zero minus zero plus one all over one myself. This gives me fly over to minus one.

Mauricio Araiza Canizales · Answer

in the following problem we want to convey in this and turf mess given them the density is equal to cosign effects on the interval X in between zero in pirate you. Now this inter from S X is gonna be defined by moment of inertia Would respect to the Y axis divided by a M So let&#x27;s first start by calculating and the moment of inertia would respect your wife. So this case is gonna be the integral from a TV times The density sorry of density. It&#x27;s a function of X terms. Ex Kim&#x27;s ffx t X. Usually you will actually pull the density out of this integral because it is a constant, however, and the density over here Barry&#x27;s with respect to X. So we can. We need to actually include that into our internal to account for all those small changes and add them all together. So now we can simplify and say that f X equal to wants is we&#x27;re not giving any were not given any information about this and our bounds. We&#x27;re gonna be from Syria to pirate too. So we&#x27;ll have the integral of ex Temps coastline effects GX by using a graphing calculator or suffer program. You can actually find this interval because it is really difficult to Seoul by hand. Yet by now sorry will have X tim sign effects plus cosign a fix which is the integral of extreme scopes in a fix evaluated from Syria to pirate too. So the moment of her in the moment would respect your why it&#x27;s gonna be equal to pirate true minus one which simplifies to pi minus duty right about you. Now let&#x27;s find the total mass m off the la Mina. So am mystifying is an integral from a TV of Roe again which, because it is bearable when she called them inside the integral Road Temps FX the ex. So they simplifies to the integral from Syria to pirate too off cosign effects the ex which is just sign effects evaluated from Syria to Iraq to which is just one. Now, if we substitute this information over here, we find out that m sorry. The center of mice located pi minus two, divided by two. And this is a solution to this question

Vikash Ranjan · Answer

in the post room. Send it off, Maas. Its bark off on and well, it won&#x27;t be. Wait and answer You less is given by formal. Are we stayed? Exploit. It was traditional. It will be X in tow. Royals dears. A bond in division off it will be Royals. India&#x27;s That&#x27;s what The question We have expired equals digression off it&#x27;s in books. A squad digs from bone Didn&#x27;t dual integration Esquire. The X is equal. Do the person of the well experience a bond. You&#x27;re going division. It is about me. So after indicating we are men as equals, it&#x27;s far for a pawn four limited X cube on three limit didn&#x27;t do well. So we have this final little guys in a bar for upon four minus zero. It want Why help our tree mind by three. Manage Ito, This is Eagle Do in a bar for upon four into three by l u. This is eagle do three upon for So we have the ex baht as tree of 14 is a dancer for the one problem

Amy Jiang · Answer

Okay, so we&#x27;re asked to computer center of masculine. That p is equal. D&#x27;oh Thanks. U us. Thanks. Eat it. And in effect, okay. For ex contained in barrel to one. That&#x27;s this X bar acquitted in the world from 01 of X times are a P which is therefore X four plus export heated in the X the X over to interval from Joe&#x27;s one of this p which is excuse us Ex Agent X X is a popular you enjoy solving this yourself You get X four is equal to extra five over five. My speeds in the complex explained It&#x27;s too exposed to over Mexico are four before my speech and little x X plus one Both the valet at once is all this gives me 11 You minus 25 over five e all over by You wanted space over or eat. Okay. It simplifies to for over five times 11 e minus 25 over five e minus eight

Problem

For the following exercises, compute the center o…

Problem 263 Hard Difficulty

For the following exercises, compute the center of mass $\overline{x} .$
$$
\rho=\sin x \text { for } x \in(0, \pi)
$$

Answer

$\frac{\pi}{2}$

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