Curvilinear Motion Polar Coordinates (Learn to solve any question)

Learn to solve curvilinear motion problems involving cylindrical components/ polar coordinates.
A radar gun at O rotates with the angular velocity...
The driver of the car maintains a constant speed...
The slotted link is pinned at O, and as a result of...
Solve time derivatives (chain rule): • How to Solve Time Deri...
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Book used: R. C. Hibbeler and K. B. Yap, Mechanics for engineers - dynamics. Singapore: Pearson Education, 2013.

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[@QuestionSolutions]

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I am glad to hear that :) Best of luck with your studies!

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[@QuestionSolutions]

There are a lot of videos on statics that's getting updated as I finish them, please see: kzbin.info/aero/PLXePpKFSUW2ZxGn6VdAPY9d7l7HowWVYL

[@omarabaza1547]

I'am really grateful that I found your lectures, it helped me a lot, god bless you I want to ask about this question 4:20 is it possible to solve this question using the normal and tangential coordinates ? and how should it be approached using the normal tangential coordinates. because I tried to solve it but it didn't give the same answer which is 0.3 rad/s

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Maybe in the future, I will include more difficult problems :)

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Thank you very much. It's on my to do list :)

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[@togononchristiangennf.4857]

pls help, im having a problem with this problem for a short distance the train travels along a track having the shape of a spiral, r=(1000/θ)m, where θ is in radian. if it maintains a constant speed V= 20 m/s, determine the radial and transverse of components of its velocity when θ=(9π/4)rad.

[@QuestionSolutions]

Sorry, I don't answer questions like this because it opens up a flood gate of problems where I'd have to solve all the questions posted as comments. To give you a hint to your problem, draw it out, with the spiral and plug in the theta value given to you, which will give you a "r" value in meters. Also, there are forums that help students with questions as well, so please look into them :) Thanks!

[@martin00114]

why do we use implicit differentiation, is it to get rid of the d(theta)?

[@QuestionSolutions]

It's whenever we have to get a derivative of an equation with 2 variables.

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[@iehteshamsaeed]

In example 3 you found angular acceleration by just differentiating the angular velocity. But in the second example when the angular displacement is given you did not find by taking the derivative of that instead you used the velocity equation. May I know why?

[@QuestionSolutions]

The 2 questions ask for 2 different things. In the 2nd example, we are looking for the angular velocity, where as in the 3rd example, we are looking for radial and transverse components of velocity.

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[@QuestionSolutions]

You're very welcome!

[@vasanthkumarcroos8605]

Very helpful sir Please give more examples

[@QuestionSolutions]

Thanks! I think if I put too many examples, the video gets far too long. Also, I think 3 or 4 examples is more than enough to understand how to use the equations. Maybe in the future, I will create some extra videos with just examples. Thank you for your input. :)

[@vasanthkumarcroos8605]

@@QuestionSolutions Thankyou so much sir

[@QuestionSolutions]

@@vasanthkumarcroos8605 You're very welcome!

[@salehsaeed937]

for 4:23 why did you derive with respect to radians instead of degrees?

[@QuestionSolutions]

They are time derivatives, not with degrees or radians. The theta dot represents the change of an angle with respect to time.

[@shreyanshpandey.3281]

As radial velocity in uniform circular motion is zero then why radial acceleration exists??

[@QuestionSolutions]

Acceleration has 2 components whenever an object is travelling along a curve. One is towards the center, while one goes perpendicular to the curve. When an object is not on a curve, then radial acceleration is 0. So if its on a curve, it will have a radial acceleration, but if its on a straight path, then there is no radial acceleration.

[@kawambwadaniel-kd3685]

Unrelated question. Why is the the radial unit vector at any instant taken to be Ur as defined initially, but we know that it changes with time.

[@QuestionSolutions]

Sorry, where are you referring to?

[@kawambwadaniel-kd3685]

@@QuestionSolutions sorry I'm not referring to any part of the video, it's just a question I have on the radial unit vector. Say you define it based on the initial conditions then the particle undergoes motion is the unit vector in the radial direction at that point different from the initial unit vector

[@kurkwelch773]

4:44 Why do we add theta prime to the end here?

[@QuestionSolutions]

Please watch: kzbin.info/www/bejne/aYrNppKdosuKoqM to understand how time derivatives work :)

[@kurkwelch773]

@@QuestionSolutions Wow, replying faster than my teacher that is paid to help me! Thanks! Subscribed :)

[@QuestionSolutions]

@@kurkwelch773 Try my best to get replies does as quick as possible, except when I am asleep :) Thank you for the sub, much appreciated.

[@yanyan5195]

hi, how did 0.1 becomes 0.025rad/s^2?

[@QuestionSolutions]

I don't know where you're referring to. Please use timestamps. Thanks!

[@yanyan5195]

@@QuestionSolutions at 2:22

[@QuestionSolutions]

It didn't, it's just a value given to us in the question. It gives both 0.1 and 0.025. @@yanyan5195

[@fahadhussain624]

2:23 why is it a constant value and the second question isn't?

[@QuestionSolutions]

In the first question, it says the "r" value is 200. It's always 200m. In the second question, the "r" value is an equation with respect to the angle.

[@fahadhussain624]

Thank you I have one more question at 5:07 why did you put 86.6 with a pheta dot in the magnitude equation when it wasn't needed when solving first radius equation

[@QuestionSolutions]

In the first question, theta dot was already given to us in the question. In the second question, we needed to find it. @@fahadhussain624

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Professor: Why aren't you attending my classes? Explain your absences please. Me After watching a summery of 7 minutes video that literally explains everything my professor tried to say in 4 hours worth of teaching:

[@QuestionSolutions]

😅 I hope all the videos will be helpful to you. Keep up the good work!

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Please try to make your class more lively

[@QuestionSolutions]

Not sure I understand what you're referring to.

[@rekipa7579]

Will you do give examples and show how to solve problems you don't explain where all the equations are coming from :(

[@QuestionSolutions]

So these videos are meant to be a supplement to your textbook/ lectures. They aren't meant to be a replacement. They are there only to reinforce what you learned in class and just to show how to solve examples because most of the time, a lot of theory is taught in class with few examples. To see derivations of these equations, please see your textbook, or look for channels that showcase theory over examples :)

[@rekipa7579]

@@QuestionSolutions ok fair enough

[@user-fk1cs2oh5i]

at 4:40, I think you made a mistake with the derivative. the theta dot was not supposed to be there.

[@QuestionSolutions]

No mistake, please see: kzbin.info/www/bejne/aYrNppKdosuKoqM

[@llltv2815]

Why 0.5 length given in last question

[@QuestionSolutions]

Sometimes, extra values are given without reason. They might be for another segment of a question.

[@llltv2815]

@@QuestionSolutions the expression for accln in transvwrs N radial direction are what we expect but some extra term being added or subtracted Like a(r)=r''(which should be true because its accln in that dirction but why we sub theta.^2? How to get feel for it

[@QuestionSolutions]

@@llltv2815 I am sorry but I am unsure of what you are asking? θ dot^2 is part of the radial acceleration, it's just part of the equation on how to find it. To get a feel for these questions, you should do as many as possible, if you can do 5 or 6 questions in this chapter, you should be fine. I also encourage you to solve the questions I've solved and see if you can do them alone, and if you get stuck, look at the video and go through it step by step. :)

[@episteme666]

fucking a++ thanks

[@QuestionSolutions]

You're very welcome!

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Wow, managed to explain what 2 weeks of classes explained in 5 minutes...Just shows how educational institutions have to justify their asking cost lol

[@QuestionSolutions]

I am glad this video was helpful to you! Best wishes with your studies :)