Couple Moments | Mechanics Statics | (Learn to solve any question)
Learn what a couple moment is, how to solve for them using both scalar and vector analysis with solve problems. We learn about free vectors, using position vectors and more.
🔹Basics of a moment: • Moment of a Force | Me...
🔹How to find a position vector: • Force Vectors Along a ...
🔹How to solve a triple scalar product (cross product): • How to Solve a Scalar ...
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Intro(00:00)
The man tries to open the valve by applying the couple forces (01:46)
The ends of the triangular plate are subjected to three couples. (02:02)
Express the moment of the couple acting on the pipe (02:51)
Determine the resultant couple moment of the two couples (03:33)
Find more at www.questionsolutions.com
Book used: R. C. Hibbeler and K. B. Yap, Engineering Mechanics Statics.
Hoboken: Pearson, 2017.
Пікірлер: 175
Please wait, before you write a comment asking why clockwise is positive, or counter-clockwise is positive, please watch this video first: kzread.infoP029mqnp4XY thanks!
I love your videos so freaking much, you don't understand. The animations and explanations are so clear and so smooth. You are the most underrated channel for engineering students that I have ever come across.
@QuestionSolutions
2 жыл бұрын
Thank you so much for your kind comment, it was really nice to read :) If you can, and only if you want to, please consider sharing this channel with your friends and classmates, it might help them out too, and it will help the channel out. I would truly appreciate it. Best wishes with your studies!
@user-no4oe8yw3i
10 ай бұрын
my thoughts exactly
Bro deadass explained a 80 minute lecture in 5 mins. Now I just gotta read over the PowerPoint and do the problems. This guy is GOATED
@QuestionSolutions
8 ай бұрын
I’m glad to hear that you found the explanation helpful! Keep up the good work with your studies, and remember, practice is key when it comes to problem solving. You’re doing great! 👍
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@QuestionSolutions
3 жыл бұрын
I hope you did well :) And thanks for sharing the channel, it's really appreciated.
I must admit, besides your explanations, your voice is so good and pleasing.
@QuestionSolutions
Жыл бұрын
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@QuestionSolutions
3 жыл бұрын
Really glad to hear this helped! I wish you the best with your studies.
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@QuestionSolutions
Жыл бұрын
😅 Thank you!
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@QuestionSolutions
2 жыл бұрын
Thank you very much for your kind comment. I am so happy to hear that these videos help :) Best wishes with your studies and keep up the great work!
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@QuestionSolutions
2 жыл бұрын
Thank you so much, I really appreciate your comment.
Best statics channel ever but i just need more videos and harder problems
@QuestionSolutions
3 ай бұрын
Thank you. Once you gain the fundamentals, you can solve pretty much any question thrown at you :) Keep up the good work!
Thank you. You explain the problems so clearly that anyone could understand.
@QuestionSolutions
2 жыл бұрын
I am really glad to hear that :) Thank you!
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@QuestionSolutions
3 жыл бұрын
Glad to hear :)
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@QuestionSolutions
3 жыл бұрын
I'm so glad! I hope you guys do really well on your test. Best of luck. 👍
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@QuestionSolutions
Жыл бұрын
Thank you very much! Glad to hear it's helpful.
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@QuestionSolutions
7 ай бұрын
Congrats on getting into a top university. Keep up the great work and best wishes with your studies.
Your videos have been really helpful. The way the concepts are broken down into simple steps with exams are really efficient, literally saving my finals for me! Thanks for putting them up :)
@QuestionSolutions
2 жыл бұрын
Glad to hear that! I hope you do awesome on your finals and thank you so much for taking the time to write such a nice comment. I really appreciate it. :)
This video just cleared all my doubts. You are awesome, thank you.
@QuestionSolutions
3 жыл бұрын
Awesome! Really glad to hear that :)
I’m a first year engineering student and you’re saving my life. Such clear explanations in a short amount of time.
@QuestionSolutions
Жыл бұрын
Thank you very much! Really glad to hear these videos are helpful. Keep up the great work and best wishes with your studies.
I have not understood what my professor has been saying all semester and I've learned everything we've done so far in like 3-4 hours thanks to you. You are a gift from above my guy, God bless you
@QuestionSolutions
2 ай бұрын
I am really happy to hear these videos helped you out. Thank you for the kind comment and I wish you the best in your studies!
Helping me out with the retake exams, thanks for the clear explanations!
@QuestionSolutions
11 ай бұрын
You're very welcome and best of luck with your future exams.
Wow thank you so much! I didn’t understand my professor after 2 lectures but understood this explanation in the first 30 seconds of the video.
@QuestionSolutions
8 ай бұрын
I’m really glad to hear that you found the video explanation helpful! Keep up the great work and best wishes with your studies. 😊
This video was superrr helpful!! Clear explanations
@QuestionSolutions
Жыл бұрын
Glad to hear! Best wishes with your studies.
your video helps me a lot thank you 🙏🏼
@QuestionSolutions
2 жыл бұрын
You're very welcome!
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@QuestionSolutions
2 жыл бұрын
You're very welcome!
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@QuestionSolutions
Жыл бұрын
Wow, really glad to hear these videos are being shared and super happy to hear they help you out. Thank you for taking the time to write your comment, really appreciate it.
AWESOME RECAP THANK YOU 🔥🔥
@QuestionSolutions
8 күн бұрын
You're very welcome!
Great Explanation!!!!!!!!
@QuestionSolutions
2 жыл бұрын
Thank you very much! :)
Awesome tutorial.thank you so much. Please make video on fluid mechanics too.
@QuestionSolutions
2 жыл бұрын
You're very welcome. Fluid mechanics is on my list of things to do 👍
YOU ARE AWESOMEEEE, A GOD SEND FOR ENGINEERING STUDENTSSS
@QuestionSolutions
2 жыл бұрын
Many thanks, really appreciate your comment.
Your videos are extremly brilliant. The animations really help a lot so please keep it up. If possible could you summarise at the end basic steps when approaching the certain types of problems. I feel this will add even more to your excellent teaching!
@QuestionSolutions
Жыл бұрын
Thank you for the suggestion. I think I did it before, in some older videos, and then stopped. I will see, I appreciate the feedback!
Thank you so much !!
@QuestionSolutions
3 жыл бұрын
You're very welcome!
I don't get where you get these numbers for your cross product.
@QuestionSolutions
8 ай бұрын
So I assume you're asking about the position vectors and expressing forces in cartesian form? If yes, please watch: kzread.info/dash/bejne/dXeZudtqm9DefdY.html and kzread.info/dash/bejne/n65rybKpea-Wd84.html Those 2 videos will cover how to get the values for the cross product. Let me know if you have further questions. Thanks!
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@QuestionSolutions
Жыл бұрын
You're very welcome and glad you like them! 😀❤👍
bro is singlehandedly doing the job my professor is supposed to be doing
@QuestionSolutions
8 ай бұрын
I am glad these videos are helpful. Keep up the great work and best wishes with your studies!
Thank you,I got the answer within the first 2mins of the video
@QuestionSolutions
Жыл бұрын
That's awesome to hear! Keep up the good work.
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@QuestionSolutions
Жыл бұрын
Thank you very much! :)
THANK YOU
@QuestionSolutions
8 ай бұрын
You're very welcome!
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@QuestionSolutions
2 жыл бұрын
😅 Keep up the good work, you can do it!
you make is seem so easy!!!
@QuestionSolutions
Жыл бұрын
When you do a few questions, it'll become really easy for you too :)
really helpful
@QuestionSolutions
2 жыл бұрын
I am really glad to hear that :)
Helpful ❤️
@QuestionSolutions
3 жыл бұрын
❤
Hello Question Solutions, hope you're doing well! I have a question, at 3:25 you found the Force in cartesian form to be {0i+0j+125k} I'm a little confused by how you found that, I thought we usually do f*(unit vector along Rab) to find the Force in cartesian form, could you please explain to me how you were able to find the force in cartesian form by just looking at the force magnitude? Thank you!
@QuestionSolutions
2 жыл бұрын
Sure, so if you look at the 125N force, it faces straight up. So that means it's not at an angle, which also means that it lies directly on the z-axis. So it can only have a k-component and its 125N straight up along the z axis, giving us {0i+0j+125k}. If a force lies directly along an axis, we don't need to go through the trouble of multiplying it by a unit vector. Even if you do, remember that the z-axis unit vector is {0i+0j+1k}, so it still leads us back to the same place.
Hello, I am a little confused about the differences between the terms moments, couples, and torques. Is the total torque of a system equal to the sum of all the moments and couples acting on the system?
Life saver
@QuestionSolutions
3 жыл бұрын
Glad to hear it helped!
You are magician
@QuestionSolutions
2 жыл бұрын
🌟 Many thanks!
Nice animation. THE rBA is A-B right? Is the MC1 and Mc2 Add together? As your last example
@QuestionSolutions
2 жыл бұрын
Thanks! Yes for the position coordinates, and yes for the moments. MC1 and MC2 are added together.
Thank you
@QuestionSolutions
2 жыл бұрын
You're welcome!
in the last example, how did you get the x component from A to B. I thought it would only have y and z components.
@QuestionSolutions
Жыл бұрын
Are you talking about the position vector rAB? If so, it doesn't have an x-component (4:28). Maybe I am not understanding your question, please let me know a timestamp so I can take a look at the equation you're referring to. Many thanks!
Great video. But on the second example why did we use clockwise direction for 600N but not the others
@QuestionSolutions
7 ай бұрын
You pick the direction you want. It's up to you 👍
do u have any tutorial on centriod and center of gravity of 2d and 3d problem solving?
@QuestionSolutions
2 жыл бұрын
I don't think I do, just mass moment of inertia.
Love it
@QuestionSolutions
2 жыл бұрын
Thanks!
For the last question, if we were to use Rac & Rba (instead of Rca & Rba like shown in the video) are we supposed to get the same answer? was wondering since Im getting {-12.11i+10j+17.3k} should I consider the direction of the moment of each individual moment (Mc1 & Mc2)
@QuestionSolutions
8 ай бұрын
You will get the same answer. If you go from A to C for your position vector, the only difference is that instead of ignoring the force at C, you ignore the force at A.
@ minute 1:22 you say we have to ignore the force at A since force 1 cannot create a moment about point A. What is the force 1 in the situation? Is it the force at A cannot create a moment about point A? I just stumbled upon your channel. So far, it's really good work thank you so much!
@daigosol5375
9 ай бұрын
So basically is force 1 the negative force at point A?
@QuestionSolutions
9 ай бұрын
It could be any force, but here, I was referring to the negative force. So you just ignore the force at the location of reference, in this case, point A.@@daigosol5375
For the problem at 2:51, does the vector Mc act perpendicular to the position vector, rab? also, where would you draw the couple moment?
@QuestionSolutions
Жыл бұрын
The vector for the couple moment would be directed along the x-axis. The direction of the vector has to be found using the right hand rule. So here, a counter-clockwise moment would mean it points along the positive x-axis.
Quick question, lets say for example on exercise 3, will the result be the same if the force on the negative Z axis didnt exist? Since we dont take it into account is MA the same regarless of F = (0i,0j,-125k)?
@QuestionSolutions
15 күн бұрын
Your position coordinate would need to be from the z-axis to the force applied. Here, the position coordinate is from the start of one force to the other force.
Can i ask a question about the second question, how do you get the 0.5 in the lenght of the triangle?
@QuestionSolutions
9 ай бұрын
So the bottom length is 1 m, half of that is 0.5 m. 1/2 = 0.5. Is that what you were referring to? If not, please let me know and I will do my best to help. Thanks!
@3.32 how did you get -25j and wouldnt it be 25i +37.5j?
@QuestionSolutions
2 жыл бұрын
For the j component, it would be 0.2 x 125 = 25, and it's negative because it's the 2nd term. Please see: kzread.info/dash/bejne/eGx9qtSgY9PJZ8o.html
It must be positive when the force is in counter-clockwise direction and vice versa
@QuestionSolutions
Жыл бұрын
No, it doesn't. It's completely up to you on which way you want it to be positive, because there aren't really any "positive or negative" moments. They have a direction. The positives and negatives help with figuring out the direction when doing problems. You can pick whichever way you want it to be positive, and if you get a negative answer, it's opposite to your assumption. In fact, I encourage you to do it opposite to what you just said so you can realize that you still get the same answer. This will bring you more insight into doing these problems, and will allow you to pick whichever direction you want to be positive, making you solve questions faster.
Hi this is Vikram from India, Some of your videos (Absolute Dependent Motion) had been copied and re-posted in KZread. Channel name is Hom Phaly. Please take action. I really appreciate your hard work and I am a big fan you.
@QuestionSolutions
3 жыл бұрын
Hi Vikram, thank you so much for letting me know, I really appreciate it. You are awesome! :)
Sir At the last example MC2 : [0 - (-10)] j Should it be positive 10j right?
@QuestionSolutions
2 жыл бұрын
No, the j component is negative in the sequence, so you end up with (-)(-)(-) = (-)
@menglimarrero4296
2 жыл бұрын
Thank you thank you very much for answering my questions sir.
@QuestionSolutions
2 жыл бұрын
@@menglimarrero4296 You're very welcome!
3.16 ( why is the moment of force a is zero and how did you know the Cartesian form of the force on point b ) ??
@QuestionSolutions
7 ай бұрын
So when you have a couple moment applied, to calculate it, you need to forget one of the forces and write a position vector from that location. Here, I chose to forget the force at A, and then wrote a position vector from A to B. The force is along the z-axis, (so just faces vertically without any other components), which means it only has a k-component. So it's just 125k.
If i assume clockwise is negative and anticlockwise is positive, i get a different answer. Is it ok?
@QuestionSolutions
7 ай бұрын
No, you will and should get the same exact answer. Please see: kzread.infoP029mqnp4XY?feature=share
Voice 🔥❤️
@QuestionSolutions
2 жыл бұрын
❤️
at 4:31 how do you get -12,11i i get that -0.346 times 35 is the -12 but why is at the i side?
@QuestionSolutions
7 ай бұрын
Please see: kzread.info/dash/bejne/eGx9qtSgY9PJZ8o.html
can u explain how couple moment can become negative or positive ?
@QuestionSolutions
2 жыл бұрын
So moments aren't really positive or negative, in 2D, you use clockwise or counter-clockwise to state the direction. In 3D, you can use the right hand rule (same with 2D), if you want to know the direction of the moment vector. But in essence, let's say you pick clockwise to be positive, and your answer is positive, then your moment is clockwise. If you get a negative answer, that means your moment is counter-clockwise because you picked clockwise to be positive but your answer was negative. The same is true for the opposite. So if you pick counter-clockwise to be positive, and your answer is positive, then your moment is counter-clockwise. If your answer is negative, then your moment is clockwise.
@ikmalhakimharun3823
2 жыл бұрын
@@QuestionSolutions hmm. Is this the same concept for dynamics bro ? Bcs I've been searching for how to determine the sign convention for work done due to couple moment. As far as I know. It depends on the torque direction right ? So how do I know the direction of the torque ? Is it the same as the direction of the rotation ??
@QuestionSolutions
2 жыл бұрын
@@ikmalhakimharun3823 I think you might be confusing the moment vector with the direction of turning. The vector is always found using the right hand rule. Work done by moments when it comes to dynamics involves taking the mass moment of inertia. Is that something you already covered? I think you might be mixing 2 topics together. :) Is there a problem you can show me that requires what you are asking? I can take a look and let you know.
@ikmalhakimharun3823
2 жыл бұрын
@@QuestionSolutions hmm. Probably bro. I think so too. I don't know much about couple moment. So I just Google them and found out the sign convention are related with the rotation of torque. Btw bro. Where can I give u the problem ?
@QuestionSolutions
2 жыл бұрын
@@ikmalhakimharun3823 Email me at "contact @ questionsolutions .com" without any spaces. Make sure to check your junk/spam box for my reply, for some reason, sometimes, it goes into those.
why is clockwise positive?
@QuestionSolutions
Жыл бұрын
Use whatever direction you want to be positive, you will get the same answer. It's just a convention that counterclockwise is positive, whatever way you choose yields the same answer in the end.
2:46
@QuestionSolutions
Ай бұрын
What about 2:46? Did you forget to write a question? 😅
Why is 25j negative? 3:30 3:31
@QuestionSolutions
Ай бұрын
Please see this video: kzread.info/dash/bejne/eGx9qtSgY9PJZ8o.html
dear the and for 2:50 is 617.15 i guess
@QuestionSolutions
2 жыл бұрын
Sorry, I am unsure of what you mean? The answer of 829.7 N is correct. How did you get 617.15?
I like you brother !!!
@QuestionSolutions
2 жыл бұрын
Many thanks!
moment unit is Nm or N
@QuestionSolutions
Жыл бұрын
It's Nm, if I showed N, then it's a typo.
3.25 I didn't understand the R(AB) vector
@QuestionSolutions
4 ай бұрын
See this video first: kzread.info/dash/bejne/dXeZudtqm9DefdY.html
1:52 But I thought clockwise meant negative and counterclockwise meant positive..
@QuestionSolutions
Жыл бұрын
Try it either way, you get the same answer. When you do more questions, you'll realize that your life will become easier if you pick the side that gives you the most positive signs, or all positive signs. Either way works, do what you like/ easiest for you 👍
I thought clockwise=negative? Pls help
@QuestionSolutions
6 ай бұрын
See pinned comment.
@akosibrothercoolpzzle123
6 ай бұрын
My bad, I didn't check the comments first. Thank you very much.
@QuestionSolutions
6 ай бұрын
That's alright. Best wishes with your studies!@@akosibrothercoolpzzle123
clockwise is negative.
@QuestionSolutions
9 ай бұрын
See: kzread.infoP029mqnp4XY So moments aren't really positive or negative, they just have directions. When we do calculations, we choose a direction to be positive. This allows us to solve the problem. Feel free to use clockwise as negative, it will give you the same answer as choosing clockwise as positive. It makes no difference.
I'm confused at the side of the triangle 2:28 I tried solving it with 1sin(40°) and my calculator gives me 0.6427
@archiedahili5391
Жыл бұрын
Ohh can you explain me why is it 0.5(cos40)? Im pretty bad at this trigonometry thing
@archiedahili5391
Жыл бұрын
And can you also explain to me where did you also get that 400? Around 2:28 also
@QuestionSolutions
Жыл бұрын
@@archiedahili5391 Okay, so first, look at 2:20. See how I drew that pink right angle triangle? That triangle is an exact half of the big blue triangle. That means the bottom length is 0.5 m, since that's 1/2 = 0.5 m. Now that we know the bottom length, we can use the angle given to us (the 40 degree angle), to figure out the hypotenuse of the pink triangle. This hypotenuse is also the side length of the big blue triangle. So we know the adjacent length, (bottom length), which was 0.5 m. Since we have adjacent length, we need to use cosine because cosine = adjacent/hypotenuse. We can't use sine unless we know the opposite length, in this cause, that would be the height of the triangle. So we can write: cos(40) = 0.5/length. Isolate it for length. length = 0.5/cos(40) ==> 0.653 m. I hope that helps.
@archiedahili5391
Жыл бұрын
@@QuestionSolutions oohhh ok ok thank youuu
@QuestionSolutions
Жыл бұрын
@@archiedahili5391 You're very welcome!
1vi9 1
@QuestionSolutions
2 жыл бұрын
Not sure what that means?
4:30 you forgot to add - to J vector when doing cross multiplication. it should be positive 12.11
@QuestionSolutions
2 жыл бұрын
I assume you mean the i component, not j, since the j component is 0, and the normal convention is to not put negative signs in front of 0s, but you can if you want, it's your choice. I mean it has no value, so it doesn't really matter. 😅In most cases, you wouldn't even write out the j component, but I did because students tend to get confused or ask what happened to it. Anyways, if you are really referring to the i component, what's shown on screen is perfectly correct. The i component is -12.11, since it's -0.346 x 35 = -12.11i. 👍
@theturkish1373
2 жыл бұрын
@@QuestionSolutions Ah yes silly of me... I should go for a sleep now... Thank you sincerely.
@QuestionSolutions
2 жыл бұрын
@@theturkish1373 Have a wonderful rest! :)
Why are you going through this so fast, i mean can you just slow down and show us each step in your solutions.
@QuestionSolutions
Жыл бұрын
What steps did you want to see? Can you give me a timestamp where you thought I should have shown more steps? Then I can think about it for future videos. Thanks!
I always mess up because I mess up the first step, getting the coordinates, then from there everything is wrong🫠
@QuestionSolutions
8 ай бұрын
Well, on the bright side, you know where you usually make a mistake. So if you spend a few more minutes at the starting step, then the rest will be good :) Don't be too hard on yourself, do as many questions as you can. You got this!
Hi, quick question abt the steering wheel. if the force is at an angle, would i find the x and y component and then find the x-y component of the distance? then do M=Fd in the x component and then M=Fd in the y component
@QuestionSolutions
2 жыл бұрын
In the steering wheel as in the ships wheel? So you have the forces applied at the 9 and 3 o'clock positions? If the force is at an angle, then you break the force into x and y components. The x component won't create a moment since it would just be pulling the wheel apart. It's like grabbing the 2 sides and one side pulls to the left and the other to the right. Only the y-component will create a moment. But in general, the steps you outlined are correct.