5

2.24 Determine the x and y components of each of the forces shown30845"80) I6150 Ib120 Ib...

Question

2.24 Determine the x and y components of each of the forces shown30845"80) I6150 Ib120 Ib

2.24 Determine the x and y components of each of the forces shown 308 45" 80) I6 150 Ib 120 Ib



Answers

Determine the $x$ and $y$ components of each of the forces shown.

Given these three forces and the lengths of the sides of the force triangles that they make up, we need to calculate the X and Y component for each one so we can start by. Let's do the £50 force and I just want to draw. It would be trying to like this, and then this will be the 28. Inside. This will be the 96 inch side, and I want this angle So we calculate that angle by the inverse tangent of the opposite over the adjacent cells 96/28 and get an angle of 73.7 degrees. And then we use that angle and the calculation of the X component of that force. It should be equal Teoh 50 times the co sign failure, and that's going to give us £14. And then the Y component will be 50 times the sign of failure that will be £48. So there's your X and Y component for the £50 force. Similarly, we're going do the same for £29 force. So trying something like this ese over 84 and using the inverse tangent we would get a fada of 43.6 degrees and force in the X direction will be that 29 times the co sign. Fada. There's going to be £21 forcing. Why would be that? 29 times that sign of Fada that equals £20. That's your X and Y component for the £20 I'm serving the £29 force and same thing for the £51 force. We have 90 and 48. Um, I trust you can do the same, but this one you'll get a favor of 61.9 degrees and then the next component of £24 and, ah, why component of £45.

So to break these forces up into their X and Y components, let's first go over what we know about right triangles. So we have Side A and Side B and iPod new C. We know that the high pot news is equal to the square root of a squared plus B squared. And if we had an angle fatal here that the co sign of that angle, Fada, is equal to the adjacent side over the iPod news. And the sign of that angle is equal to the opposite side over the high part news. So let's apply that to our 800 noon force here. So this the right triangle for this force were given the sides 600 millimeters 800 millimeters. We don't know, see will appear using that formula, See would be the square root of eight under squared plus 600 squared, and it would equal 1000. So the force in the X direction would be equal to the force times, the coastline of Fada or what we just found out that would be equal to the force times the adjacent side over the high parties. So this is equal to 800 times 800 over 1000. Matt equals 640 Newtons. So similarly, the force in the Y direction will be equal to the force times the sign of Fada. And we know that the sign of Fada is equal to the opposite side of reliable news. So this is just equal to 100 times 600 over 1000 and that gives us a force of 480 Newtons. So apply that to the other two forces. We have everything we already know to just use that simple recipe right there and let me finish. So for 80 for this one, so and when you do that, you get for the 408 Newton Force, you get 192 Nunes and the X negative 360 Newton's in the why For the 424 Newton Force, you have negative 224 Newtons in the X a negative 360. Putin's in the Why

Okay. We need to determine the X and Y components of each force. This one's pretty straightforward. And if we use the, I'm going to start with the 150 new force first. So Force Me x for this one would be, um I want to maintain a sign convention because that was acting to the left. That's gonna be a negative 1 50 times the coastline of 35. And that's equal to negative 122.9 mutants and then the y component. It's gonna be 1 50 times that sign of 35 and we get 86.0 Nunes. So you see, this is the 150 Newtons of force. I'll stay the 129 force. It's gonna be pretty much the same way we did the one under 50 noon. So the X component in the equal to 1 20 times the coast time of the angle, which is gonna be 40 plus 30 which is gonna be 70 degrees. Come again. 41 points there onions. The why components will be 1 20 times the sign off 70 degrees. That's gonna be 112.8 News and the 80 Newton Force UM X component, 80 times a cool sign of 40 whose we get 61.3 Nunes and the Y component is 80 times the sign of 40 degrees. Can we get 51.4 Newtons?

Let's break these three forces into their X and Y components will start with the's £60 force, and we have that forcing the extraction is equal to the force times the co sign of the angle Fada. So in this instance, we have a force of 60 and an angle of 25 degrees. So the force in the X direction is equal to 54 point £38 and forcing the why is the force times the sine of the angle? So that's 60 times a sign of 25 degrees, and we have £25.36 for a £40 Force. Force Me X is equal to the force times the co sign of the angle Fader. That's 40 times the co sign of 60 degrees, and that's £20. Why is forced times a sign of Fada, which is 40 times a sign of 60 degrees? And that is negative £34.64 for £50 force we have. Forcing the axe is equal to force times. So for this one, because our angle is from the Y axis, it's actually gonna be swamped here. So the fourth next there going to be the force Times a sign of that, That angle. So that's 50 times the sign of 50 degrees. And we get negative £38.3. Forcing the why is gonna be forced Time to the co sign because our angles measured from the Y axis. And that's gonna be 50 times the co sign of 50 degrees. I'm getting negative £32.14.


Similar Solved Questions

2 answers
Exercise 2. Let denote the Euler totient function_ Prove that for all positive integers m and n, if m,n are relatively prime (coprime) , then (mn) O(m)o(n). (ii) Is the converse true? Prove or provide a counter-example.
Exercise 2. Let denote the Euler totient function_ Prove that for all positive integers m and n, if m,n are relatively prime (coprime) , then (mn) O(m)o(n). (ii) Is the converse true? Prove or provide a counter-example....
5 answers
Usine implicit Jifferentiation2rY-3v - [
usine implicit Jifferentiation 2rY-3v - [...
5 answers
Folume of 500.0 mL of 0.140 M NaOH added to 525 mL of 0.250 M wcak acid (K, 7.I5 * 10- ) What is thc pH of the resultingg buffer?HA(aq) OH- (aq)H,O() + A-(aq)pH
Folume of 500.0 mL of 0.140 M NaOH added to 525 mL of 0.250 M wcak acid (K, 7.I5 * 10- ) What is thc pH of the resultingg buffer? HA(aq) OH- (aq) H,O() + A-(aq) pH...
5 answers
The differentiae equation for mass -spring-damper with no external applied force is+c #+ = 0 Given that m 2,€ 146.andk= 1. write this ODE in the form 42 = Az and calculate the eigenvalues of this system Enter the sum of the two eigenvalues for your znswer (4 decimal points}
The differentiae equation for mass -spring-damper with no external applied force is +c #+ = 0 Given that m 2,€ 146.andk= 1. write this ODE in the form 42 = Az and calculate the eigenvalues of this system Enter the sum of the two eigenvalues for your znswer (4 decimal points}...
4 answers
Lpaa euion 8 1 1
lpaa euion 8 1 1...
5 answers
Questlon 3 (2 polints) LidtenWhich of the following can be transformed to glucose via eluconcorenesks?oxaloacetatealanineIysinelactatefumarate
Questlon 3 (2 polints) Lidten Which of the following can be transformed to glucose via eluconcorenesks? oxaloacetate alanine Iysine lactate fumarate...
5 answers
In part (a) of the figure an electron is shot directly away from auniformly charged plastic sheet; at speed Vs - 26*105m/s The sheet i5 nonconducting flat and very large Part (b) of the figure gives the electron s vertical velocity component vversus time t until the return to the launch point Whatis the sheet s surface charge density? Assume & 22.0 pS.Number
In part (a) of the figure an electron is shot directly away from auniformly charged plastic sheet; at speed Vs - 26*105m/s The sheet i5 nonconducting flat and very large Part (b) of the figure gives the electron s vertical velocity component vversus time t until the return to the launch point Whatis...
5 answers
Let f(x) be defined such that f(2) = 3 and fYx) cost-where <X < 4.Part A: Find the tangent line approximation for {(2.1).Pant B: If f(2.1) has an actual value of 2.12, what is true about the graph of ffor <X < 4?
Let f(x) be defined such that f(2) = 3 and fYx) cost- where <X < 4. Part A: Find the tangent line approximation for {(2.1). Pant B: If f(2.1) has an actual value of 2.12, what is true about the graph of ffor <X < 4?...
5 answers
Find the length of side x in simplest radical form with a rational denominator:Subnut AnontttAnswer:
Find the length of side x in simplest radical form with a rational denominator: Subnut Anonttt Answer:...
5 answers
6) Let Er=1 be a convergent series (a) Use the Theorem to find an upper bound for the error |S Snl in using the 3rd partial sum Sz to estimate the value of the series $.(6) Determine how many terms ofthe convergent series must be summed to be sure that the remainder is less than 10- magnitude
6) Let Er=1 be a convergent series (a) Use the Theorem to find an upper bound for the error |S Snl in using the 3rd partial sum Sz to estimate the value of the series $. (6) Determine how many terms ofthe convergent series must be summed to be sure that the remainder is less than 10- magnitude...
1 answers
Use differentials to approximate the change in cost, revenue, or profit corresponding to an increase in sales of one unit. For instance, in Exercise 29, approximate the change in cost as $x$ increases from 12 units to 13 units. Then use a graphing utility to graph the function, and use the trace feature to verify your result. Function $\quad$ $x$-Value $P=-x^{2}+60 x-100 \quad x=25$
Use differentials to approximate the change in cost, revenue, or profit corresponding to an increase in sales of one unit. For instance, in Exercise 29, approximate the change in cost as $x$ increases from 12 units to 13 units. Then use a graphing utility to graph the function, and use the trace fea...
5 answers
Six thousand dollars is invested gor four years and two months at 6% compounded quarterly .the value of n
six thousand dollars is invested gor four years and two months at 6% compounded quarterly .the value of n...
5 answers
Compiciecore30i Z0,5.1.29Queslion Help ~The Widgel Compuny hasu ronthly #ulees repctct" nlven by mejgrs 0 matricos whose row? Mder teprusert Ilo Iumnber ot requnar daluxo, und oxtrome model ad tho coltnne In Mder Qivo Uwe munbi ol ted, whidle, blua purple uaels aold Tho mAtricos tor January (J) uu Fotuury MlO Fhoyin belo# Cornptota Padte (0) Uuowgh ,(0] How mally extrento Modulu woro goki Januart Doype - wbole purnber )
compicie core 30i Z0, 5.1.29 Queslion Help ~ The Widgel Compuny hasu ronthly #ulees repctct" nlven by mejgrs 0 matricos whose row? Mder teprusert Ilo Iumnber ot requnar daluxo, und oxtrome model ad tho coltnne In Mder Qivo Uwe munbi ol ted, whidle, blua purple uaels aold Tho mAtricos tor Januar...
5 answers
Use thenation [ the pK_ Iable below - determine which side the equlllbcium favored for cach 0fthe reactions acid PE, acid pE,curond table:CI=CHCHOHEulnilnarntChSh
Use the nation [ the pK_ Iable below - determine which side the equlllbcium favored for cach 0fthe reactions acid PE, acid pE, curond table: CI=CH CHOH Eulnilnarnt ChSh...
5 answers
Question 9Find the coordinates of the vertices of the ellipse below: Separate answers with . comma; 2+2=1PreviousNo newr data t0 savc Last checked at 8.20am5 6K] PJ
Question 9 Find the coordinates of the vertices of the ellipse below: Separate answers with . comma; 2+2=1 Previous No newr data t0 savc Last checked at 8.20am 5 6 K] PJ...
5 answers
WL 1 1 betrveen 1 1 # 1L 1mgl
WL 1 1 betrveen 1 1 # 1 L 1 mgl...

-- 0.064260--