Mechanical Engineering: Ch 11: Friction (31 of 47) (Flat) Belt Friction: Deriving the Equation

Рет қаралды 89,259

7 жыл бұрын

Visit ilectureonline.com for more math and science lectures!
In this video I will derive the equation of the ratio of the tensions of a belt around a peg or drum with respect to friction and angle (or number of times around) the peg.
Next video in this series can be seen at:
• Mechanical Engineering...

Пікірлер: 73

@umer2465 5 жыл бұрын

4:28 that's a plus

@ZainKhan-xx6np 6 жыл бұрын

sir may GOD bless you with best health. Thank you very much i am having my statics exam day after tomorrow and you just made it so easy. Thank you very much sir.

@nikhilshahare6241 7 жыл бұрын

A little sign mistake was there when you put value of delta N from second to to eqn first. But the explanation is very good!!

@fatimafatoum928 5 жыл бұрын

Right

@basic2596 7 ай бұрын

yeahh

@paulproofmath323 3 жыл бұрын

How did you get theta/2 ?

@alexkaralex3719 4 жыл бұрын

What made you put b growing clockwise

@VickysTuition 3 жыл бұрын

Finding a tutorial for this content was hard... Thank you for the video 👍👍

@MichelvanBiezen 3 жыл бұрын

Glad it helped

@satishyadav894 6 жыл бұрын

Awesome video lecture by Sir

@integralCalculus 7 ай бұрын

Loved the rigor you observed to derive the differential equation for T by invoking limits.

@MichelvanBiezen 7 ай бұрын

Thank you. Glad you found them helpful.

@nayanjadhav4472 6 жыл бұрын

sir please take lecture on cable placed around 3 pipes

@josebertramtelmosojr.3147 3 жыл бұрын

I am always grateful to you great teacher and Ideal one, god bless you and your family💖♥️💙🐶

@MichelvanBiezen 3 жыл бұрын

Thank you. We appreciate it.

@furkandurdu9615 4 жыл бұрын

sir i want to ask something, we have the same belt on the left and the right side of the differantial roller part, so how can be a force difference between these two, isnt it supposed to be equal on the both sides ? because of the nature of the belts and strings etc. thank you very much...

@MichelvanBiezen 4 жыл бұрын

If there was no resistance, no friction, and no moment of inertia on the roller you would be correct. But since part of the energy is transferred to the roller, the tension will be different on both sides.

@connectgfv6775 4 жыл бұрын

clarity was very good.

@achintyahaldar6626 2 жыл бұрын

I think in line number 3 , sign of T+delT, should be +

@Siege2Sage 6 жыл бұрын

You are the best. I love you.

@mihaly1027 7 жыл бұрын

Does this only apply to belts or could it be extended to a rope on a pulley?

@MichelvanBiezen 7 жыл бұрын

Yes, this applies to a rope on a pulley as well. A good example of that is the belt and pulley system of a car (although that is not considered a flat belt). We tend to ignore the difference in tension due to friction on a pulley.

@nareshjoshi123 7 жыл бұрын

i may have pleasure to know from you that i am spiral paper tube core maker how i can reduce friction between , a solid round mandrill , hectically warped paper strip on , the sliding friction occur between paper strip&round metal mandrill, i may have pleasure to receive your reply, thanking you naresh joshi

@mridultyagi2995 2 жыл бұрын

actually it is a question in ie Irodov

@MichelvanBiezen 2 жыл бұрын

Irodov has some great and challenging problems.

@rafiaumar6087 4 жыл бұрын

Thank u wonderful explanation ....:)

@tuanphamrmit 6 жыл бұрын

could you explain why that angle is delta theta/2?

@MichelvanBiezen 6 жыл бұрын

If you rotate the triangle to the right by theta/2 then the left side of the triangle will be vertical, and the angle between T and the horizontal will be zero, and the angle between T + delta T and the horizontal will be theta.

@solup7991 4 жыл бұрын

why is the sum of forces in the x direction 0? Shouldn't it be equal to some dF since the entire string should move in the direction of the bigger T?

@Fjfkaadf 7 ай бұрын

rope doesnt have mass

@KumudRanjan-qq8sp 4 ай бұрын

Sir you are a genius

@MichelvanBiezen 4 ай бұрын

Far from it, but glad to be able to explain these concepts.

@kumarsamaksha7207 5 жыл бұрын

awesome sir

@AJ-et3vf 9 ай бұрын

Awesome video sir! Thank you!

@MichelvanBiezen 9 ай бұрын

Thank you. Glad you liked it.

@PYP_paathshala 3 жыл бұрын

Sir tension equals in all points in a single string then T2>T1 ..? Explain !

@MichelvanBiezen 3 жыл бұрын

Tension is equal ONLY if there is no friction and the wheels have no mass.

@mariovaz4994 4 жыл бұрын

THANK YOU !!!

@edsonlima3273 7 жыл бұрын

Good explanation, but is the pulley drawn motor or moved?

@MichelvanBiezen 7 жыл бұрын

The concept of belt friction can be used for pegs and pulleys alike. In this section it will apply mostly to non moving pegs or posts.

@edsonlima3273 7 жыл бұрын

Michel van Biezen Thanks for answering me. My question is: why does the right side have T + dT, why does dT exist in this system?

@MichelvanBiezen 7 жыл бұрын

The tension on one side is greater than the tension on the other side. The difference is dT when the angle subtended is d(theta).

@edsonlima3273 7 жыл бұрын

Michel van Biezen Thank you for responding, your videos are excellent, they help me a lot!!!

@batuhanatc7419 6 жыл бұрын

First of all thanks for the lectures :) Youre a life saver. In the video, I think you made a sign mistake when you're making the deltaN substitution. And I have 2 questions.1-) What happened to the integral constant when you take the integral of both sides due to seperable diff eqn? Shouldn't there be a 'c' constant on one side of the equality ? 2-)Should we consider B angle in radians or degrees?

@gohan100100 6 жыл бұрын

He did make a sign mistake. Definite integrals don’t get an integration constant. All angles are in radians.

@batuhanatc7419 6 жыл бұрын

Thanks :)

@12345mmmmas 4 жыл бұрын

love u so much💙💙

@alexmanzano2063 7 жыл бұрын

Why is the sum of forces set to zero if the tension forces are unbalanced?

@alexmanzano2063 7 жыл бұрын

Is it because the tension force is slightly off balance so you can say it equals zero?

@MichelvanBiezen 7 жыл бұрын

The difference in the tension is caused by the friction force (which balances out the forces).

@nachiketbelwalkar1072 6 жыл бұрын

because frictional force is one which balances the difference in tension and for no slip condition sum of all forces is put to 0

@barandizmen4169 5 жыл бұрын

Hello,I have a simple quesition that how can I figure out which is bigger?

@MichelvanBiezen 5 жыл бұрын

The side where the motor pulls the belt.

@barandizmen4169 5 жыл бұрын

@@MichelvanBiezen thank you ,and what should I do when question says let's say F that you pull but system doesn't move,in this stuation F is smaller force am I right?

@MichelvanBiezen 5 жыл бұрын

Yes, that means the opposing forces are equal or greater than F

@vijayakumardeebaguntla5534 5 жыл бұрын

Thank u sir

@mechanicalengineering2773 4 жыл бұрын

Sir please help me.. My english is not good I wanna ask how it can be T+ΔT sir ?

@MichelvanBiezen 4 жыл бұрын

When a small amount of extra cable is wrapped around a post (through a small angle) there will be a small amount of extra tension

@mechanicalengineering2773 4 жыл бұрын

@@MichelvanBiezen so how only right side be T+ΔT While left side is stay T sir ?

@MichelvanBiezen 4 жыл бұрын

The tension is not the same on both sides. That is due to the friction between the cable and the post.

@mechanicalengineering2773 4 жыл бұрын

@@MichelvanBiezen thanks a lot sir.. I am understand now..

@Greenchecks101 3 жыл бұрын

Please don't skip the important parts. Like why do we have to get the limit.

@tajinderkumar9019 6 жыл бұрын

sir why didn't you consider the centrifugal force

@MichelvanBiezen 6 жыл бұрын

The wheel is fixed at its central axis and rotating about that axis. The difference in the tension of the two belts provides the torque rotating the wheel. The "centrifugal" force here does not play a role in providing the torque.

@vijayakumardeebaguntla5534 5 жыл бұрын

Pully is not rotating it is just to start rotate