Moment of a Force | Mechanics Statics | (Learn to solve any question)
Learn about moments or torque, how to find it when a force is applied at a point, 3D problems and more with animated examples. We talk about the line of action, breaking forces into components and using that to find moments, and resultant moments. We also go into using the cross product to figure out the moment as well.
🔹Breaking 2D forces into components: • Vector Addition of Cop...
🔹Forces Along a Line (3D forces): • Force Vectors Along a ...
🔹Finding the Cross product: • How to Solve a Scalar ...
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Intro(00:00)
Determine the moment of each of the three forces about point A. (02:24)
The 70-N force acts on the end of the pipe at B. (04:30)
The curved rod lies in the x-y plane and has a radius of 3 m. (05:25)
Determine the moment of this force about point A. (06:28)
Determine the resultant moment produced by forces (06:58)
Find more at www.questionsolutions.com
Book used: R. C. Hibbeler and K. B. Yap, Engineering Mechanics Statics.
Hoboken: Pearson, 2017.
Пікірлер: 513
⭐⭐If you'd like to see more examples covered and at the same time support the channel, please see: kzread.info/dash/bejne/oISqqZObianIm9I.html ⭐⭐ 🔹Clockwise moments positive, or counter-clockwise positive? kzread.infoP029mqnp4XY 🔹Please note there is a typo at 6:23. The "k" term is negative, not positive, so it's {-128.34i + 128.34j - 256.68k} 🔹At 6:31, there is a typo in the question, we are finding the moment about point B, NOT A. This is a typo in the question only, all steps are correct. 🔹When to use sine or cosine: kzread.infovynnKlJD_Jo
@moonbunnies5216
2 жыл бұрын
Hi sorry for bothering. For the j term in the same timestamp you've provided, I can't seem to get positive j. 4(-42.78)-(-2)(21.39) = -128.34
@moonbunnies5216
2 жыл бұрын
btw thank you so much for these videos. Its really helping me a lot you have no idea how thankful I am to have found this channel.
@QuestionSolutions
2 жыл бұрын
@@moonbunnies5216 Since this is the second multiplication, it will have a negative in front first, so it will be like this: -[4(-42.78)-(-2)(21.39)]. You can always double check using this website: onlinemschool.com/math/assistance/vector/multiply1/ . Simply plug in the 2 vectors. And you are very welcome, glad to hear these videos are helping :)
@moonbunnies5216
2 жыл бұрын
@@QuestionSolutions oh my god I totally forgot about the formula for that, should've checked myself before commenting, thank you so so soo much for letting me know.
@QuestionSolutions
2 жыл бұрын
@@moonbunnies5216 Happens to everyone I think :) Best wishes on your studies!
Completing my Engineering from KZread University of Engineering and Technology
@QuestionSolutions
2 жыл бұрын
Best wishes with your studies!
@divineobot1605
8 ай бұрын
For realll😂😂😂😂❤
@aadhilhasan7815
6 ай бұрын
Best KZread professor😊 thanks a lot
@user-dh9ry2hj5z
6 ай бұрын
Same condition same place 😂
@user-ro8gk9tf2k
4 ай бұрын
Which engineering program?
well I'm obviously subscribing. I have been struggling with this topic for a while and your video just helped me get it. 1 step closer to becoming an engineer thank you : )
@QuestionSolutions
3 жыл бұрын
That's really awesome and I am super glad you got it :) Thank you so much and I wish you the best on your journey to become an awesome engineer!
@j.d.b.7581
Жыл бұрын
Same here✨
@ivoryas1696
3 ай бұрын
@@QuestionSolutions Awesome. Thanks dude. 👌🏾
@adinadjiressem6669
27 күн бұрын
@@QuestionSolutions Very Smart
Thank gosh I found you! I was struggling so much with moments and now I know it's the PERPENDICULAR distance. Thank you so much :)
@QuestionSolutions
2 жыл бұрын
Haha, yes, perpendicular distance :) Glad to hear this helped!
Your honestly one of two best tutoring channels for physics in all of YT. Continue making quality vids bro!! (also new sub)
@QuestionSolutions
Жыл бұрын
Thank you so much for your kind words! Really nice of you :) I will do my best to continue the channel.
I am here just for the recap since most of the engineering lessons I took required this procedure to solve problems. Thank you! You discussed better than my college instructor. Specific and concise!!!
@QuestionSolutions
2 жыл бұрын
I try my best to make them as concise as possible :) Best wishes with your finals!
May God bless you, your family, and your knowledge that you spread. You have made me understand, so I ask God Almighty to increase you and bless the goodness in you and increase you. Syria🇸🇾🥇
@QuestionSolutions
5 ай бұрын
Wow, thank you very much, that was a really nice comment. I wish you the best in your studies and all your future endeavors!
you explained the whole topic and worked all possible types of problems related to this topic in just 8mins! you're amazing!
@QuestionSolutions
3 ай бұрын
Thank you very much!
You deserve my subscribe! I hope all students trying to learn this lesson would see this video. Thanks for the tutorial. Keep it up.
@QuestionSolutions
2 жыл бұрын
Thank you very much! :)
Awesome, so helpful. I was having trouble with this topic, watched the video, worked some practice stuff out on paper and cruised through the rest of my homework on this subject. Thank you!!
@QuestionSolutions
2 жыл бұрын
You're very welcome. You're doing exactly what I hoped students would do :)
Coming from a class with a curriculum that doesn't follow the book to the T, this is such a great way to get study/example problems. THANK YOU SO MUCH!!!!
@QuestionSolutions
2 жыл бұрын
You are very welcome! I hope you gain a firm grasp of the materials and do amazingly on your exams!
You are doing god's work my man, bless your soul holyyyyyy, Keep doing what you're doing man
@QuestionSolutions
2 жыл бұрын
Many thanks! I wish you the best on your studies.
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@QuestionSolutions
2 жыл бұрын
I am really glad to hear that :) Best wishes with your studies!
@Tay7r
Жыл бұрын
Same bruh, my professors can't teach shit
Excellent explanation. Thank you very much. Very well explained. The best part is explaining the solution really fast and also clearly.
@QuestionSolutions
2 жыл бұрын
Thank you so much for your nice comment. I really appreciate it.
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@QuestionSolutions
2 жыл бұрын
Thank you for your kind comment and I am very happy to hear that these videos help. Keep up the awesome job and I wish you the best with your studies! :)
@ummiaisyah7560
2 жыл бұрын
@@QuestionSolutions Will do my best and thank youu for the wishh!!!
@QuestionSolutions
2 жыл бұрын
@@ummiaisyah7560 You're very welcome!
tysmmmm I've been trying to figure this out on my own for an hour now and you just made it all clear now I'm definitely going to like and subscribe
@QuestionSolutions
2 жыл бұрын
Thank you so much, really glad to hear it was helpful! Keep up the awesome work.
I have been struggling with this chapter in Applied Mathematics, Thank you very much, now i trust myself fully in Moments, i also subscribed to your channel and sent the link to my fellow varsity mates
@QuestionSolutions
2 жыл бұрын
I am really happy to hear that and I really appreciate your subscription and the share. Means a lot and I wish you the absolute best with your future studies! Keep up the good work 👍
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@QuestionSolutions
Жыл бұрын
Glad it helped! Best wishes with your studies.
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@QuestionSolutions
2 жыл бұрын
Many thanks!! 👍👍
Thnx so much for explaining it! I had mix feelings about this topic since my professor went over it fast
@QuestionSolutions
2 жыл бұрын
I hope it was helpful to you. Best wishes with your studies!
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@QuestionSolutions
2 жыл бұрын
Awesome! Give it your all and I wish you the best on your test!
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@QuestionSolutions
Жыл бұрын
Thank you very much! :)
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@QuestionSolutions
2 жыл бұрын
I am really glad to hear that! Best wishes with your studies.
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@QuestionSolutions
3 жыл бұрын
Thank you so much 💓 I really appreciate your comment and the shares, super nice of you! 💓💓💓💓
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@QuestionSolutions
2 жыл бұрын
Thank you for your kind comment! I hope they are very helpful to you.
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@QuestionSolutions
6 күн бұрын
Thank you very much. I am sure you will get it, just practice a few problems and follow along the examples :) I wish you the absolute best with your studies!
been lost for so long dropped the class once already and watched this video and now everything makes sense
@QuestionSolutions
8 ай бұрын
I’m really glad to hear that the video was helpful for you! It’s not uncommon to feel lost when learning something new, and it’s great that you didn’t give up. Do you best, keep going, you’re doing great! 😊
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@QuestionSolutions
2 жыл бұрын
I am very glad to hear that :) I hope you did well on your exam.
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@QuestionSolutions
2 жыл бұрын
You're very welcome!
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@QuestionSolutions
2 жыл бұрын
Glad to hear :) Best wishes with your studies!
5x faster than my prof.
@QuestionSolutions
3 жыл бұрын
👍😁
@aaqibkhursheed9523
3 жыл бұрын
And its easier to understand 😃😂
@d7o0myalshlaly59
Жыл бұрын
5x better
@trevorclark7985
Жыл бұрын
honestly, my professor makes this stuff seem like rocket science with how bad he is at teaching it
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@QuestionSolutions
2 жыл бұрын
You're very welcome! Keep up the great work, best wishes with your studies.
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@QuestionSolutions
7 ай бұрын
Glad it was helpful!
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@QuestionSolutions
Жыл бұрын
I am glad to hear that! Keep up the good work.
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@QuestionSolutions
2 жыл бұрын
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@QuestionSolutions
3 жыл бұрын
Many thanks!
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@QuestionSolutions
2 жыл бұрын
You're very welcome!
Clear explanation, thanks
@QuestionSolutions
2 жыл бұрын
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@QuestionSolutions
Жыл бұрын
Thank you very much!
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@QuestionSolutions
3 жыл бұрын
Glad to hear :) You're very welcome!
Praying Tanaka has a suggestion: may you include sample problems where we are given angles and not just lengths? It would be very helpful 🌝 🙏
@QuestionSolutions
2 жыл бұрын
I am not sure I understand what you mean? You need distances to calculate a moment, or you use the angles given to figure out the distances first. Could you elaborate on what you would like to see? :)
thank you so much brother
@QuestionSolutions
4 ай бұрын
You are most welcome.
dudee you're such a legend!!!
@QuestionSolutions
2 жыл бұрын
Thank you :)
Thx for your great effort! In the last problem, If we wanted to use position vector OA, what force should we use when doing the cross product?
@QuestionSolutions
2 жыл бұрын
The forces remain the same, only the position vector changes. So when doing the cross product, you would use rOA. 👍
tyssm u ddont know how much youve helped me for this
@QuestionSolutions
Жыл бұрын
You're very welcome! Keep up the great work and best wishes with your studies.
absolutely fantastic 👏👏
@QuestionSolutions
2 жыл бұрын
Thank you :)
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@QuestionSolutions
2 жыл бұрын
Thank you for your feedback. :)
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@QuestionSolutions
2 жыл бұрын
Thank you very much, I really appreciate it. 👍
Wow, Even after graduating. I still remember how to do it. Just needed to refresh my memory a little.
@QuestionSolutions
20 күн бұрын
Congrats on graduating and well done for remembering!
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@QuestionSolutions
2 жыл бұрын
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@QuestionSolutions
2 жыл бұрын
Many thanks!
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@QuestionSolutions
2 жыл бұрын
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@QuestionSolutions
8 ай бұрын
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@QuestionSolutions
3 жыл бұрын
You're very welcome!
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@QuestionSolutions
3 ай бұрын
Thank you very much! Best wishes with your studies.
Your videos are great!! Would you please be able to do a video on torsion as well as equations of elastic curves (deflection/ flexure formula)?
@QuestionSolutions
2 жыл бұрын
Thank you very much and I will definitely add it to my list of videos to make :)
@ArmyLover-kn1qd
2 жыл бұрын
@@QuestionSolutions Thank you!
Great video! Really helped me wrap my head around this. With the curved rod question, wouldnt the k-value of the cross-product be -256.68k? ((4 x -64.17)-(0x21.39)=-256.68k) Otherwise it wouldnt be perpendicular to the plane created by the two vectors.
@QuestionSolutions
Жыл бұрын
Glad to hear it was helpful. :) And yes, I have a pinned comment with the typo corrected. 👍
I love this man
@QuestionSolutions
Жыл бұрын
❤
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@QuestionSolutions
2 жыл бұрын
Thank you very much!
You Deserve a Globe's Best Teacher Award 🤩
@QuestionSolutions
3 жыл бұрын
🤩 You're too kind!
@freakingik2781
3 жыл бұрын
Yes,he indeed deserves it. God bless u.....
@QuestionSolutions
3 жыл бұрын
@@freakingik2781 :)
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@QuestionSolutions
4 ай бұрын
Thank you!
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@QuestionSolutions
2 жыл бұрын
Thank you very much! I hope it was helpful.
I got -128.34i +128.34j -256.68k for the cross product in 6:24.
@QuestionSolutions
3 жыл бұрын
You are right, there is a typo, the k term should be negative. 👍
Thanks Man👍
@QuestionSolutions
2 жыл бұрын
You're very welcome! 👍👍
amazing helpful
@QuestionSolutions
Жыл бұрын
Thank you very much!
THANK YOU
@QuestionSolutions
Жыл бұрын
You're very welcome!
This is the best video
@QuestionSolutions
Жыл бұрын
Thank you very much!
please i'd like to ask if the position vector could be from anywhere like Rac instead of Roc
@QuestionSolutions
2 жыл бұрын
Please kindly provide a timestamp to the place you're referring to.
Was studying these same things for four hours and didn't understand a single thing. Can't believe I just understood everything in 8minutes😂😂I appreciate 🙏
@QuestionSolutions
7 ай бұрын
I am really happy to hear that! Well done and keep up the awesome work :)
i like your videos it helps me a lot in my engr course. can i ask? how did you get the cross product from the 3 example
@lhyneduya
8 ай бұрын
when i cross product i get the 128.34-213.9-256.68 is not the same from what you get
@QuestionSolutions
8 ай бұрын
Please see: kzread.info/dash/bejne/eGx9qtSgY9PJZ8o.html
for the fourth example, why are you using the position vector for BC if you're taking the moment about point A? would you not use AC?
@QuestionSolutions
3 ай бұрын
There is a typo in the question, the moment was suppose to be about point B. I wrote a pinned comment about this too because I get asked it so many times. 😅
Thanks for your help in this topic was wondering that isn't turning clockwise should be negative?
@QuestionSolutions
Жыл бұрын
You can pick either direction, it makes no difference as long as you follow through with your positive and negative signs. So for example, assume you picked counterclockwise to be positive, then if you get a negative answer, the moment is clockwise. If you picked clockwise to be positive and you got a negative answer, then the moment is counterclockwise. If you picked counterclockwise to be positive and you got a positive answer, then the moment is counterclockwise. Lastly, if you picked clockwise to be positive and your answer is positive, then it is clockwise.
@darrenwood3826
Жыл бұрын
@@QuestionSolutions Thank you
Sir at 2:45,when finding the components of x and y for F1,why did you use sin for the x-component instead of cos and cos for the y-component instead of sin? Or am I mistaking please?
@QuestionSolutions
10 ай бұрын
Please watch this: kzread.infovynnKlJD_Jo?feature=share It'll clear up all your doubts. :)
@ 7:50 I think the j in MOB is - 0j since the j should be negative (not that it matters since the value is still 0)
@QuestionSolutions
2 жыл бұрын
I don't assign negatives to zeros. It's neither positive or negative, it's just zero because -0=0 also, to me, positive "looks" nicer 😅
I love you as a teacher
@QuestionSolutions
Жыл бұрын
Thank you very much! :)
Hello, I think there is a mistake at 6:23, Roc should be Roa since the starting point of the force is A no ? Or maybe I don't know the rule well ^^ Edit : Well I just heard "position vector from point O to any point of the line of force action", I learned that thank you :)
@QuestionSolutions
9 ай бұрын
Yes, as long as the vector goes to any point on the line of action of the force, you will get the same answer 👍
Amazing
@QuestionSolutions
7 ай бұрын
Thank you! Cheers!
thank you
@QuestionSolutions
Жыл бұрын
You're very welcome!
I'm still amazed by how you explained everything in 8 minutes which took my professor at least 2+ hours to explain XD
@QuestionSolutions
Жыл бұрын
😅I hope it was helpful and keep up the good work!
Thanks teacher
@QuestionSolutions
2 жыл бұрын
You're very welcome!
Look at this legend
@QuestionSolutions
2 жыл бұрын
:) Many thanks!
Hi, I love you thanks for this.
@QuestionSolutions
Жыл бұрын
You're welcome! 👍
hi i hope you respond- at 6:55 i got +180j. please tell me why it's -180j? i thought we automatically add -in front of j? so it will be -(-)= +? i hope this makes sense. It's what my lecturer taught me :) Thank you for these awesome videos!!!
@QuestionSolutions
Жыл бұрын
So for the second term, you'd get -[(0)(-500)-(-0.3)(600))] ==> -[0+180] ==> -180j. Please see: kzread.info/dash/bejne/eGx9qtSgY9PJZ8o.html Let me know if you need any more help :) You can use this: onlinemschool.com/math/assistance/vector/multiply1/ to verify your answers.
@l0velyjesse
Жыл бұрын
@@QuestionSolutions thank you so so much! you're getting me through my degree!!
Can you please explain where the line of action is in the flagpole example? I'm assuming the line of action is up and down the flagpole
@QuestionSolutions
2 жыл бұрын
Your assumption is correct. If we have a force directly along the flagpole, there would be no moment created.
the BEST☺
@QuestionSolutions
Жыл бұрын
Thank you :)
Hello, I have a little mental hurdle that I'm trying to overcome which is represented at 3:58 does the line of action change, and does it become parallel to the black line representing the support at point A?
@QuestionSolutions
2 жыл бұрын
I assume we are talking about the 400 N force? If so, the line of action is always with respect to the force. So if we extend the orange dashed line backwards and forwards, that is the line of action. If that line crosses point A, then it can't create a moment. Here, that line of action is 5 m away from point A.
At 2:41 Why did you use the horizontal component of F2 for F2x instead of the vertical component like in F1?
@QuestionSolutions
2 жыл бұрын
Okay, so I think what you're actually asking is, why did I use cos for F2x, but use sin for F1x, and you are assuming cos and sin are related to horizontal and vertical components. If this is your question, please erase that thought out of your head. Sin and cos are NOT related x/y/horizontal/vertical components. They are purely based on the angle and it's corresponding side. I have no idea where students get this notion from, but please make sure you don't think like this. 😅I really encourage you to look at this video (kzread.info/dash/bejne/gKaAl8ZmYqbHkrQ.html), it's not long, and if you're really tight on time, just watch the first example. It will give a very good foundation for working with sin/cos and how to properly use them. I break it down step by step and by the end you will never get confused again but sin and cos. If this isn't what you're asking, I am not too sure I understand your question. Maybe rephrasing it might help me, if so, I am sorry :(
For example 3, if r is the position vector from the point where we take the moment about to any point along the line of action of the force, can r be the position vector from O to A? if I do that i get -128.4i +128.4j -256.08k? (the only difference is the sign of the z component to your answer).
@QuestionSolutions
28 күн бұрын
You absolutely can. I have a typo in my answer (see pinned comment). Your answer is correct.
@nacure360
28 күн бұрын
@@QuestionSolutions ohh thank u
For the first question, when solving the moment for M3: Shouldn't it be -300n(5m)+400N(4)?
@QuestionSolutions
10 ай бұрын
So remember, we are looking for the perpendicular distance. F_x is horizontal, so we are looking for the vertical distance from point A, that's the perpendicular distance, which is 4m. F_y is vertical, so we are looking for the horizontal distance from point A and that's 5m.
Top G lesson
@QuestionSolutions
Жыл бұрын
Many thanks! 👍
At 4:25 it was mentioned clockwise was positive, while I’m aware that counterclockwise is positive while clockwise negative, could you explain? as I’m confused now 😢
@QuestionSolutions
Жыл бұрын
You can use whatever way you want to be positive. If you like counter-clockwise to be positive, you can solve it that way. Regardless, you will end up with the exact same answer. :)
6:23 shouldn't be 256.68 a negative (-)? Since we alternate our operations in doing matrices + - + last term should be + [(4)(-64.17) - (0)(21.39)] which results to - 256.68. Please correct me if I'm wrong.
@QuestionSolutions
8 ай бұрын
Please see pinned comment. You are correct, it's a typo. 👍
@DraftingCADemy2023
8 ай бұрын
@@QuestionSolutions Thank you!
bro helped me understand a whole chapter I skipped 2 hours before the test
@QuestionSolutions
Жыл бұрын
That's great! Keep up the good work :)
u r a boss.
@QuestionSolutions
Жыл бұрын
😅
Hi, I have a question, why in 5:45 we get the position vector from OC and in 6:41 its from BC? That wouldn't mean that our position vector in 5:45 should be from O to A? I have tried that and it will change the values of the momentum vector
@QuestionSolutions
Ай бұрын
You can take it from O to A, and you will get the same answer. There will be no difference. You most likely wrote down an incorrect position vector. The position vector OA would be 3i+3j+0k. Keep in mind that there is already typo in the solution for that question as mentioned in the pinned comment. The answer for that problem is -128.34i+128.34j-256.68k. Whether you use a position vector from O to C or O to A, you will get the same answer.
@ThunderGowPlayer
Ай бұрын
@@QuestionSolutions Oooh, I just checked, and you are right! I was messing up with the position vector, but yeah, when you do it with 3i+3j+0k, you get the same answer. Sorry for the confusion. Thank you for your help and answering my comment, even though this video is 3 years old! New subscriber
@QuestionSolutions
Ай бұрын
@@ThunderGowPlayer You're very welcome. I am glad you got it :) Keep up the great work and best wishes with your studies.
Isn't F1x be equal to cos(theta)? since cosine represents the x-axis while sine represents the y-axis?
@QuestionSolutions
5 ай бұрын
Please, take 1 minute and watch this video: kzread.infovynnKlJD_Jo That is incorrect, and you must erase that thought from your mind. You will lose so many marks on your exams from that view point, and I have no idea where students got this idea from.
A uniform metre scale of mass 200 g carries of a block of mass 800g at one of its end .At what distance from the same in end does does a knife and balance the scale?
@QuestionSolutions
Жыл бұрын
Sorry, I don't solve questions like this because then I have to solve everyone's problems 😅 I encourage you to use math/physics forums if you need help with a specific question.
Dude you taught me more than my professor did in 8 minutes lmfao thanks.
@QuestionSolutions
8 ай бұрын
I’m really glad to hear that! Keep up the great work and best wishes with your studies.
If we take clockwise to be negative and anticlockwise to be positive we get different answers foe the moment, is it advisable to always take clockwise as positive unless stated otherwise?
@QuestionSolutions
2 жыл бұрын
What you are saying is not possible. The direction is simply an assumption. For example, you can assume clockwise to be positive. In that case, if you get a positive value, then your moment is clockwise, and if you get a negative value, it's counterclockwise. Now if you pick counterclockwise to be positive, then if your answer is positive, your moment is counterclockwise, and if your answer is negative, it's a clockwise moment. I pick clockwise to be positive because it's a preference. You can pick either to be positive. Make sure you follow through with your direction and use proper positives and negatives, you will end up with the same answer. 👍
@jordanchongo3752
2 жыл бұрын
@@QuestionSolutions ohk, thank you 🙏
Hi, i thought clockwise direction was negative and counterclockwise was positive or it doesn't matter?
@QuestionSolutions
3 ай бұрын
See pinned comment.