Force Vectors Along a Line | Mechanics Statics | (Learn to solve any question)

Рет қаралды 107,114

Күн бұрын

Learn to break forces into cartesian form when they are along a line, or from one point to another. We talk about position vectors, magnitude, unit vectors, resultant forces, and much more. Learn through solve problems, step by step, including animations.
🔹Addition of Cartesian Vector Forces: • Addition of Cartesian ...
Intro(00:00)
If FB = 560 N and FC = 700 N, determine the magnitude and coordinate direction angles of the resultant force acting on the flag pole. (00:50)
The three supporting cables exert the forces shown on the sign. (4:05)
The cord exerts a force F = {12i + 9j - 8k} kN on the hook. (05:15)
Find more at www.questionsolutions.com
Book used: R. C. Hibbeler and K. B. Yap, Engineering Mechanics Statics.
Hoboken: Pearson, 2017.

Пікірлер: 146

@theblin6side753 3 жыл бұрын

Definitely one of the best engineering/physics mathematics channels on youtube, your videos are so good mate thank you!

@QuestionSolutions 3 жыл бұрын

Thank you very much! Really appreciate your comment.

@arshdipgohel3162 3 жыл бұрын

Best channel ever for statics and dynamics. Respect.

@QuestionSolutions 3 жыл бұрын

Many thanks! 👍

@QuestionSolutions 3 жыл бұрын

Please note there is a typo at 5:14. The 2nd value is FC, the answer is still correct, typo is "FB" -> "FC" (value is correct as only the j component changes and is negative). At 3:55, there is a typo, "cos" should not be shown at the final answer. It should just be "α = 66.94" and the same goes for other values. Thank you.

@chriscorbett9105 9 ай бұрын

The clearly labeled and colored graphics along with the explanations are very clear and understandable! Amazing!

@QuestionSolutions 9 ай бұрын

Glad it was helpful! I wish you the best with your studies.

@letsoalomogaumabolo1638 2 жыл бұрын

😭❤️I love the way you're explaining these things because they've been giving me trouble for a while now & the lectures are making it seems like it's complicated.. I'd appreciate more vids coming from you about this whole module at large

@QuestionSolutions 2 жыл бұрын

Once you do a few questions, you will notice that it's just following a pattern. You get the position coordinates, then a unit vector, and then you multiply it by the magnitude of the force. If you can do 3 or 4 questions without trouble, you can pretty much do all of them. The process is the same. Keep up the good work and do your best! :)

@doublemg23 Жыл бұрын

Love your videos brother, clear explanations in step by step format. Thank you!

@QuestionSolutions Жыл бұрын

You're very welcome! Best wishes with your studies.

@ShammahXIV 3 ай бұрын

Oh my goshhhh!!!! You kept bringing the exact kind of examples I came searching for. A very big thank you mate♥️

@QuestionSolutions 3 ай бұрын

Glad to hear that! Keep up the good work and best wishes with your studies.

@solomonglenda6811 3 жыл бұрын

Thank you so much guys! This made my life a whole lot easier!

@QuestionSolutions 3 жыл бұрын

Really glad to hear. I hope all of the videos are helpful to you and wish you the best with your studies!

@vrishank777 Жыл бұрын

Great video. Made the concept insanely easy to understand, you're a great explainer!

@QuestionSolutions Жыл бұрын

Thank you very much :)

@entropeace-- Жыл бұрын

Concise and simplified. Thank you very much !

@QuestionSolutions Жыл бұрын

You're very welcome!

@rudeflex2659 3 жыл бұрын

just found this channel. relly helpful for studying engineering mechanics

@QuestionSolutions 3 жыл бұрын

I am glad to hear that! I hope all the videos are helpful to you.

@victorumarujr 2 жыл бұрын

Thank you sooo much for this, one of the best channels to teach this God bless you.

@QuestionSolutions 2 жыл бұрын

Glad to hear it helped :) Best wishes with your studies.

@gabrielleduran6090 Жыл бұрын

Your videos are the best of the best!! Thank you for answering all my confusions. Never knew studying physics was this easy and fun. God bless to your channel!! ^^

@QuestionSolutions Жыл бұрын

Glad to hear that physics is a fun subject for you. Keep up the good work :)

@imankalenge4346 Жыл бұрын

You are very proffesional 🙌Great Lecture easy to understand😁Thank you am good now in this case✊🏼

@QuestionSolutions Жыл бұрын

Thank you very much! Glad to hear it was helpful :) Keep up the great work.

@abdulmoizakram8906 9 ай бұрын

MAY GOD BLESS YOU BRO YOU REALLY MADE IT AS MUCH SIMPLE AS POSSIBLE

@QuestionSolutions 9 ай бұрын

I am really glad to hear that! Keep up the great work and I wish you the best with your studies :)

@justintagle4019 10 ай бұрын

Just want to say thankyou proablly the best explanation i have ever seen

@QuestionSolutions 10 ай бұрын

I'm really glad to hear that you found the explanation helpful! Your feedback means a lot. If you have any more questions or need further clarification, don't hesitate to ask. Thank you for your kind words! 😊

@abdelrahmanihab Жыл бұрын

You are the best. Thank you for your great effort.

@QuestionSolutions Жыл бұрын

You're very welcome!

@janecm6136 Ай бұрын

my brain just clicked and boom , I understood right away. JUST WHYYY I HAVENT SEEN THIS DURING MY UNI DAYS :(

@QuestionSolutions Ай бұрын

:) Really happy to hear this was helpful to you!

@johnpatrickaguilar9442 2 жыл бұрын

Thank you! You teach better than my prof :)

@QuestionSolutions 2 жыл бұрын

Thank you so much, glad to hear this helps.

@anonymoususer4356 Жыл бұрын

Keep up the good work. Very informative and helpful!!

@QuestionSolutions Жыл бұрын

Thank you very much!

@NamithaaV 9 ай бұрын

you made this easy to understand...thanks a lotttttttttttttttttttt............

@QuestionSolutions 9 ай бұрын

You are very welcome! Glad to hear it was easy to understand :)

@pollall2793 5 ай бұрын

I learn more about these subjects in one 10 minute video than in an hour long lecture from school.

@QuestionSolutions 5 ай бұрын

I am really glad to hear that! Keep up the awesome work and I wish you the best in school.

@zenkydeecee59 Жыл бұрын

You're so great thanks

@QuestionSolutions Жыл бұрын

Thank you! :)

@kgothatsomasilela6607 11 ай бұрын

Thank you so much

@QuestionSolutions 10 ай бұрын

You're most welcome!

@Samrawit-21 9 ай бұрын

Wow keep it up 👏👏👏👏👏

@QuestionSolutions 8 ай бұрын

Thank you!

@total_chaos4u620 Жыл бұрын

If i would have found this video sooner I would not have failed my exam, regardless this video has helped me immensely

@QuestionSolutions Жыл бұрын

I'm sorry you failed your exam. Hopefully, this series of videos will be helpful for your next exam and I wish you the best with your studies. :)

@atakashikiru1304 2 жыл бұрын

Thank you sm! You are way good than my instructor, which btw is not doing her job (and I mean teaching) cuz "you have pdf textbooks" as she said.

@QuestionSolutions 2 жыл бұрын

😅 I am sorry to hear that, but I hope these videos are helpful to you!

@abdullahaman3508 2 жыл бұрын

How I appreciate you I don't understand.very much help full♥️

@QuestionSolutions 2 жыл бұрын

Thank you :) ♥️

@lovelymainar8334 2 жыл бұрын

Life saverrr♥️♥️

@QuestionSolutions 2 жыл бұрын

♥️♥️

@tristandescamps8419 Жыл бұрын

Thanks!

@QuestionSolutions Жыл бұрын

You're very welcome!

@kiroshinimuniandy5918 2 жыл бұрын

Thank you for the video ❤️❤️❤️

@QuestionSolutions 2 жыл бұрын

You're very welcome!

@nimcaandayib6222 3 жыл бұрын

Dear teacher ,I undesrtood your lessons very well,but I don't understand my teacher of statics of my university .I am grateful to you. Please dear teacher continue statics and all engineering lessons.

@QuestionSolutions 3 жыл бұрын

Glad to hear it helped. I wish you the best with your studies!

@nimcaandayib6222 3 жыл бұрын

Thanks dear teacher ,I understood , it's just like y and x axes where their intersection is zero (0,0).I am grateful to you alot

@QuestionSolutions 3 жыл бұрын

@@nimcaandayib6222 That is correct. 👍

@Flowaze 6 ай бұрын

Hello Question Solutions! Your videos are so helpful and the animations make it easier to visualize. I have a question regarding the whole process, why are we trying to find the force, when the forces are initially given to us in these problems? I'd appreciate if you can let me know.

@QuestionSolutions 6 ай бұрын

I am really glad to hear that! So the forces we are usually given are scalar. In simple terms, they are just a magnitude, but to solve problems, we need to break this force into components. So we need to know the x, y and z components of the force. That allows us to figure out the effect it has on everything else.

@Flowaze 6 ай бұрын

Thanks for the answer! It makes sense now@@QuestionSolutions

@freemovies437 Жыл бұрын

you explain better then my prof who have Phd

@QuestionSolutions Жыл бұрын

Glad to hear it's easy to understand, I try my best to make them as concise and easy to follow as possible :)

@abdelmomoumenehoufra8464 Жыл бұрын

Thank u from algeria

@QuestionSolutions Жыл бұрын

You're very welcome!

@lilblckgrl 4 ай бұрын

Applause 👏

@QuestionSolutions 4 ай бұрын

😊

@ragnarlothbrok6324 Жыл бұрын

Thanks Habibi I love you

@QuestionSolutions Жыл бұрын

You're welcome! Best wishes with your studies.

@christopherherdinqromex6369 Жыл бұрын

God bless you

@QuestionSolutions Жыл бұрын

Best wishes with your studies!

@malikzain9463 3 жыл бұрын

nicely explained..... a small error at 3:55, you explained that right though, it's α=66.94 degrees instead of cosα=66.94 degrees ....similarly the β and γ ..... sorry I pointed the error but I had to, so please don't mind

@QuestionSolutions 3 жыл бұрын

Yes, you are absolutely right, I showed "cos" when it shouldn't be there. I apologize for the typo. Thank you for pointing it out, really appreciate it. :)

@malikzain9463 3 жыл бұрын

@@QuestionSolutions you're welcome...

@lilluchannel5819 4 ай бұрын

In 5:14 at the end of 3rd section of the video, is it impossible to calculate the clear values in Newtons with given information? What i mean is: are the i, j and k components' values unknown or are they just used for annotation? Great videos btw, helps me understand my uni course a little bit better:)

@QuestionSolutions 4 ай бұрын

I am not sure what you mean by clear values. The answers are already in newtons. The i, j, k components are not variables. They represent the x,y,z axes. So let's look at force FB. What the answer says is, there is a -324 x-component, 129.8 y-component, and 194.6 z-component. Another way to look at it is how do I get to a certain spot. Start at point A, and see how we can get to point B. I have to go in the negative x-direction (so towards the wall), then I have to go to the right (so positive y-direction) and then I need to go up (so positive z-direction). We are taking a scalar magnitude of a force, and breaking it into each component. The same as how we break a 2D force into x and y components.

@AnandKumar-df4vd 3 жыл бұрын

Sir from which application you draw such a beautiful animation

@QuestionSolutions 3 жыл бұрын

I use after effects for animations. 👍

@alfredackon3723 3 жыл бұрын

I would want to ask how would you assign the direction of the forces So let's say in the first question it said the tension in rope AB is 560N and that of AC is 700N . Assuming that no direction has been given how would you know if the direction of the forces is the same as what is in the video or it is in the opposite direction. This keeps getting me confused Thanks

@QuestionSolutions 3 жыл бұрын

You can assume either way, but you can guess as well. For example, you can't push on a rope, because they can't take compressive forces, where as a stick/rod can. But it doesn't really matter if you can't figure it out, the direction of the force is always an assumption. Then you carry out your positive and negative sign convention until the very end. If you get a negative answer, that means the direction of the force is opposite to your assumption. When you do a lot of questions, you can actually make a very good guess as to which way the force will face. 👍

@Asian-report 11 ай бұрын

In such figures in which we have 3 axes of x,y and z how can we know which is positive axis and which is negative like +ve axis and -ve axis Like in question 1 Point B u have taken y component as negative?

@QuestionSolutions 11 ай бұрын

When you look at the diagram, look to see where the x, y, z labels are. The side with the label is generally considered the positive side.

@anasmalek4623 3 жыл бұрын

Hey just asking aye but with all ur videos for statics do u go over all the possible questions that could be asked?

@QuestionSolutions 3 жыл бұрын

No, of course not, that's impossible to do 😅 Professors come up with different questions all the time. What these videos cover is the fundamental applying process that allows you to solve a question. So I try to show how the equations you learn in class can be applied to different questions with examples. I don't cover proofs or theory because your textbook/professors do that, I try to show the methods to solve the problems pertaining to a chapter.

@anasmalek4623 3 жыл бұрын

Oh ok but would you say it is necessary to go over the theory coz I just don’t understand anything my teacher says but with you I am able to do the questions

@QuestionSolutions 3 жыл бұрын

@@anasmalek4623 I think theory is important for proofs, but a lot of the time, most students have the theory down, or they can write down the equations they learned with ease. The problem is, they have a hard time applying the equations, so hopefully, these videos help with that 👍 Also, even though proofs aren't covered, I go over the equations required for each chapter.

@rprojects8162 2 жыл бұрын

thank u v v v v v v v much

@QuestionSolutions 2 жыл бұрын

You're veryyyyy welcomeeeeee.

@daylinlouw3340 2 жыл бұрын

at 6:05 ...Is the force not in kilo netwons? would it not have to be converted to newtons?

@QuestionSolutions 2 жыл бұрын

Yes, it's just a typo, the force was given in kN, so the answer is also kN. 👍

@tristandescamps8419 Жыл бұрын

Are the bold letters scalars? with an arrow but just in bold?

@QuestionSolutions Жыл бұрын

Bold letters indicate a vector. Non-bold letters are scalars. In some books, an arrow is used to indicate a vector. You can figure it out by seeing what type of information is portrayed. For example, anytime you have i,j,k, components, it's a vector.

@abdurahmankhan7067 8 ай бұрын

in first problem the position vector b should be 3i-2j+ok

@QuestionSolutions 8 ай бұрын

That's wrong, look carefully at the x and y values. It's really important to double check because if you make an error at the start, everything else will be wrong too.

@getschwifty9536 9 ай бұрын

00:03 Expressing a force in cartesian form 00:56 Finding resultant force and coordinate direction angles for a force directed along a line. 01:48 Position vectors are used to represent the starting and ending points of a force. 02:38 Force vectors along a line can be expressed in cartesian form by finding the magnitude and unit vector of the position vectors. 03:22 The resultant force can be found by adding the components of the vectors together. 04:15 Express each force in the ropes in Cartesian form. 05:10 To find the location of point B, we can use position vectors and unit vectors. 05:54 Forces directed along a line can be represented using Cartesian form and solved by equating the components.

@QuestionSolutions 9 ай бұрын

👍

@Teshh_958 Жыл бұрын

on the last example how did you get F= 12i + 9j -8k

@QuestionSolutions Жыл бұрын

It's given in the question, if you look at the top of the video, you will see the question written out. 👍

@Mau365PP Жыл бұрын

What SW do you use for the animations? 😋

@QuestionSolutions Жыл бұрын

Illustrator for the diagrams and after effects for animations 👍

@nimcaandayib6222 3 жыл бұрын

Dear teacher please why point B x-axes became (0i)

@QuestionSolutions 3 жыл бұрын

Because point B is at x = 0. Make sure you look to see where the origin is. Otherwise, you will make a mistake in writing down the coordinates. Also, please stop writing many comments for a single question, it makes it harder for me to follow what you are asking. Instead, write a long/short question in a single comment and ask and I will do my best to help you. I said this before, but please use timestamps. So let's say you have a question at 4 minutes and 25 seconds. Then you would write at 4:25 I have this question. That way, I can quickly look to find where the problem is :) It makes it much faster for you and me 😅

@nimcaandayib6222 3 жыл бұрын

Dear teacher,how I can identify the origin point every diagram??

@QuestionSolutions 3 жыл бұрын

It's where x, y, and the z axis intersect. Like from math class, you drew axes right, x and y axes? (0,0) was the starting point, so in 3D space, it's (0,0,0). 👍

@adwoaaj5925 Жыл бұрын

Thanks I was just about to ask that question

@harishmurugan6721 2 жыл бұрын

sir how to determine the components pls explain sir?

@QuestionSolutions 2 жыл бұрын

Please watch the videos in this playlist in order: kzfaq.info/sun/PLXePpKFSUW2ZxGn6VdAPY9d7l7HowWVYL

@darrylcarter3691 2 жыл бұрын

In example 1, I thought we add Cartesian rB and rA. Why do we subtract rB and rA in this case?

@QuestionSolutions 2 жыл бұрын

Could you provide a timestamp so I can take a look at the location you're referring to?

@darrylcarter3691 2 жыл бұрын

@@QuestionSolutions is at 2:11

@QuestionSolutions 2 жыл бұрын

@@darrylcarter3691 So we are writing a vector from A to B. To get that vector, you subtract the initial points from the secondary points. Here, that would be subtracting A points from B. Also, we aren't adding rB and rA, we are subtracting A from B, the points, not position vectors. If you meant the points, and that we should add them, then you have read this incorrectly or heard it incorrectly, since that is not how a position vector is found. Let me know if that isn't what you were asking.

@darrylcarter3691 2 жыл бұрын

@@QuestionSolutions yes

@QuestionSolutions 2 жыл бұрын

@@darrylcarter3691 Awesome! 😀

@karthick... 2 жыл бұрын

how to find magnitude of moment along specified axis ? plz reply

@QuestionSolutions 2 жыл бұрын

Please see this video: kzfaq.info/get/bejne/qMp7Y8ZqvsC2ias.html

@karthick... 2 жыл бұрын

@@QuestionSolutions sorry bro i asked magnitude of force along axis

@QuestionSolutions 2 жыл бұрын

@@karthick... Are you talking about scalar forces? What exactly are you looking for? 😅 Please go through the playlist from the beginning for statics. Most likely, you are talking about a force along an axis, and that's covered in vector addition of forces, so first video. 👍

@anasmalek4623 3 жыл бұрын

Hey sir there’s a mistake at 5:14 u accidentally put force B twice instead of force C

@QuestionSolutions 3 жыл бұрын

Thank you for pointing it out, there is a typo. The 2nd value is for FC, answer is still correct, the j component is negative, otherwise, it's identical since they are both symmetrical through the x axis.

@everyinfofun354 3 жыл бұрын

2021 still

@QuestionSolutions 3 жыл бұрын

👍

@niazisarikisongsstudio Жыл бұрын

How to know that A is origin

@QuestionSolutions Жыл бұрын

So the origin is where the coordinate system is placed. In other words, look to see where the x and y axes cross each other. A isn't the origin, but it's on the origin, in simple terms, it's at the intersection of x and y, but just higher up along the z-axis.

@tengwenxiang1692 Жыл бұрын

Why do we multiply the unit vector with the magnitude of force to get the force vector

@QuestionSolutions Жыл бұрын

This is the process that needs to be done to express a scalar force in cartesian form. The proof of this should be in your textbook, please check.

@tengwenxiang1692 Жыл бұрын

@@QuestionSolutions hey do you have the picture of it cuz my lecture note doesn’t have it

@QuestionSolutions Жыл бұрын

@@tengwenxiang1692 no, I don't sorry.

@tengwenxiang1692 Жыл бұрын

@@QuestionSolutions okieee Thanksss for your explanation very clearrrr❤️

@QuestionSolutions Жыл бұрын

@@tengwenxiang1692 you're very welcome ❤️

@josegregosilao414 2 жыл бұрын

Sir, I think the answer for 6:19 for x is 6.82, please correct me if im wrong thank you

@QuestionSolutions 2 жыл бұрын

I get 65/17, which is 3.82. Please let me know if I made a mistake.

@josegregosilao414 2 жыл бұрын

@@QuestionSolutions You are correct sir, I've made a mistake. I was answering on my own. I mistakenly took x - 4, not x - 1. my bad. Thank you sirr!

@QuestionSolutions 2 жыл бұрын

@@josegregosilao414 Awesome! Best wishes with your studies.

@josegregosilao414 2 жыл бұрын

@@QuestionSolutions Thank you sir, may you blessed always for sharing your knowledge.

@QuestionSolutions 2 жыл бұрын

@@josegregosilao414 Thank you :)

@soultonechannel7760 2 жыл бұрын

isn't it that the magnitude x should be 2.82m not a 3.82m

@QuestionSolutions 2 жыл бұрын

Are you asking about the last question? If so, we aren't looking for a magnitude. The magnitude here is actually the length of the cable, which is 4 m.