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

[@riaanviljoen4354]

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[@QuestionSolutions]

Thank you! That's awesome to hear. Best wishes with your studies!

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[@QuestionSolutions]

Thank you very much! Really appreciate your comment.

[@PunmasterSTP]

I definitely agree!

[@arshdipgohel3162]

Best channel ever for statics and dynamics. Respect.

[@QuestionSolutions]

Many thanks! 👍

[@QuestionSolutions]

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]

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

[@QuestionSolutions]

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

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[@QuestionSolutions]

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

[@pool718]

you're an amazing channel, i had trouble learning by reading but watching your video made everything so much more clearer thank you!!

[@QuestionSolutions]

I am really happy to hear that :) Keep up the great work and best wishes with your studies!

[@letsoalomogaumabolo1638]

😭❤️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]

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! :)

[@PunmasterSTP]

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[@QuestionSolutions]

You're welcome! Glad they lined up so well for you.

[@PunmasterSTP]

@@QuestionSolutions They help to keep me on the straight and narrow path of learning.

[@Flowaze]

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]

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]

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

[@toss_na]

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[@QuestionSolutions]

Thank you very much! I am really happy to hear you can understand this video :) Keep up the awesome work and I wish you the best with your studies!

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

[@PunmasterSTP]

How have your studies been going over the past couple years?

[@victorumarujr]

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

[@QuestionSolutions]

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

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[@QuestionSolutions]

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

[@doublemg23]

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

[@QuestionSolutions]

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

[@abdulmoizakram8906]

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

[@QuestionSolutions]

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

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I am glad to hear it's helpful to you. Keep up the great work and I hope you have a great semester!

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[@QuestionSolutions]

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

[@justintagle4019]

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

[@QuestionSolutions]

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! 😊

[@Zuqmaro]

Concise and simplified. Thank you very much !

[@QuestionSolutions]

You're very welcome!

[@vrishank777]

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

[@QuestionSolutions]

Thank you very much :)

[@gabrielleduran6090]

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]

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

[@nimcaandayib6222]

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]

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

[@nimcaandayib6222]

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]

​@@nimcaandayib6222 That is correct. 👍

[@Samrawit-21]

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[@QuestionSolutions]

Thank you!

[@Stephanie-sb4xm]

in statics, you often need to know how much of a force is pushing or pulling in each direction to determine if a structure is stable. 1.Understanding Force as a Vector Vector Basics: A vector is something that has both magnitude (how much) and direction (where it’s going). Think of it like an arrow pointing in a specific direction with a certain length. Force as a Vector: In physics, a force is a vector because it not only has a certain amount of push or pull (magnitude) but also a direction in which it acts. 2. Magnitude of the Force The magnitude of a force is just a number (a scalar) that tells you how strong the force is. For example, a force of 10 Newtons has a magnitude of 10. The magnitude doesn’t tell you where the force is directed, just how strong it is. 3. Direction of the Force To fully describe a force, we also need to know its direction. This is where a unit vector comes in. 4. Unit Vector A unit vector is a special kind of vector that has a magnitude of 1 and points in a specific direction. Its job is to provide direction without affecting the magnitude. You can think of it as a direction pointer that doesn’t change the size of the force, just where it points. In Cartesian (xyz) coordinates. 5. Cartesian Form of a Force When we want to describe a force in 3D space, we use its Cartesian form ( i, j k,) 6. Putting it All Together To describe a force completely, we multiply the magnitude (how much force) by the unit vector (which direction): This equation tells us: Magnitude: The overall size of the force. Direction: How the force is split up among the x, y, and z directions. 7. Why This is Useful By breaking the force down into its Cartesian components, engineers and physicists can analyze how forces interact in different directions. For example, in statics, you often need to know how much of a force is pushing or pulling in each direction to determine if a structure is stable. Summary Magnitude: Tells you how strong the force is. Unit Vector: Tells you the direction of the force. Cartesian Form: Breaks the force into parts acting along the x, y, and z axes, making it easier to work with in problems.

[@QuestionSolutions]

Great summary!

[@abdelrahmanihab]

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[@QuestionSolutions]

You're very welcome!

[@NamithaaV]

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

[@QuestionSolutions]

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

[@atakashikiru1304]

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]

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

[@pollall2793]

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

[@QuestionSolutions]

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

[@freemovies437]

you explain better then my prof who have Phd

[@QuestionSolutions]

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

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[@QuestionSolutions]

Thanks!

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Thank you! You teach better than my prof :)

[@QuestionSolutions]

Thank you so much, glad to hear this helps.

[@anonymoususer4356]

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

[@QuestionSolutions]

Thank you very much!

[@total_chaos4u620]

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

[@QuestionSolutions]

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. :)

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This is the best 🥰

[@QuestionSolutions]

I'm glad to hear that :)

[@lilluchannel5819]

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]

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.

[@abdullahaman3508]

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

[@QuestionSolutions]

Thank you :) ♥️

[@PlayInfiniteNow]

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]

👍

[@malikzain9463]

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]

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]

@@QuestionSolutions you're welcome...

[@slaveofthemostmerciful9636]

are your resultant i and j components mixed at 3:39?

[@QuestionSolutions]

No, they aren't. Why?

[@zenkydeecee59]

You're so great thanks

[@QuestionSolutions]

Thank you! :)

[@lovelymainar8334]

Life saverrr♥️♥️

[@QuestionSolutions]

♥️♥️

[@Asian-report]

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]

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.

[@Carusot]

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

[@QuestionSolutions]

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.

[@janecm6136]

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

[@QuestionSolutions]

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

[@kgothatsomasilela6607]

Thank you so much

[@QuestionSolutions]

You're most welcome!

[@Carusot]

Thanks!

[@QuestionSolutions]

You're very welcome!

[@Mau365PP]

What SW do you use for the animations? 😋

[@QuestionSolutions]

Illustrator for the diagrams and after effects for animations 👍

[@daylinlouw3340]

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

[@QuestionSolutions]

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

[@teshh_958]

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

[@QuestionSolutions]

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

[@kiroshinimuniandy5918]

Thank you for the video ❤️❤️❤️

[@QuestionSolutions]

You're very welcome!

[@lilblckgrl]

Applause 👏

[@QuestionSolutions]

😊

[@anasmalek4623]

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

[@QuestionSolutions]

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]

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]

@@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.

[@christopherherdinqromex6369]

God bless you

[@QuestionSolutions]

Best wishes with your studies!

[@alfredackon3723]

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]

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. 👍

[@josegregosilao414]

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

[@QuestionSolutions]

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

[@josegregosilao414]

@@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]

@@josegregosilao414 Awesome! Best wishes with your studies.

[@josegregosilao414]

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

[@QuestionSolutions]

@@josegregosilao414 Thank you :)

[@harishmurugan6721]

sir how to determine the components pls explain sir?

[@QuestionSolutions]

Please watch the videos in this playlist in order: kzbin.info/aero/PLXePpKFSUW2ZxGn6VdAPY9d7l7HowWVYL

[@tengwenxiang1692]

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

[@QuestionSolutions]

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]

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

[@QuestionSolutions]

@@tengwenxiang1692 no, I don't sorry.

[@tengwenxiang1692]

@@QuestionSolutions okieee Thanksss for your explanation very clearrrr❤️

[@QuestionSolutions]

@@tengwenxiang1692 you're very welcome ❤️

[@darrylcarter3691]

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

[@QuestionSolutions]

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

[@darrylcarter3691]

@@QuestionSolutions is at 2:11

[@QuestionSolutions]

@@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]

@@QuestionSolutions yes

[@QuestionSolutions]

@@darrylcarter3691 Awesome! 😀

[@AnandKumar-df4vd]

Sir from which application you draw such a beautiful animation

[@QuestionSolutions]

I use after effects for animations. 👍

[@abdelmomoumenehoufra8464]

Thank u from algeria

[@QuestionSolutions]

You're very welcome!

[@karthick...]

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

[@QuestionSolutions]

Please see this video: kzbin.info/www/bejne/qJWuYZZvjr-Fj9k

[@karthick...]

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

[@QuestionSolutions]

@@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. 👍

[@ragnarlothbrok6324]

Thanks Habibi I love you

[@QuestionSolutions]

You're welcome! Best wishes with your studies.

[@abdurahmankhan7067]

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

[@QuestionSolutions]

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.

[@nimcaandayib6222]

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

[@QuestionSolutions]

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]

Thanks I was just about to ask that question

[@anasmalek4623]

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

[@QuestionSolutions]

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.

[@nimcaandayib6222]

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

[@QuestionSolutions]

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 😅

[@MuzamilNiazi8044]

How to know that A is origin

[@QuestionSolutions]

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.

[@rprojects8162]

thank u v v v v v v v much

[@QuestionSolutions]

You're veryyyyy welcomeeeeee.

[@soultonechannel7760]

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

[@QuestionSolutions]

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.

[@everyinfofun354]

2021 still

[@QuestionSolutions]

👍