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

[@ZainKhan-xx6np]

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.

[@umer2465]

4:28 that's a plus

[@nikhilshahare6241]

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]

Right

[@basic2596]

yeahh

[@integralCalculus]

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

[@MichelvanBiezen]

Thank you. Glad you found them helpful.

[@VickysTuition]

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

[@MichelvanBiezen]

Glad it helped

[@KumudRanjan-qq8sp]

Sir you are a genius

[@MichelvanBiezen]

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

[@josebertramtelmosojr.3147]

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

[@MichelvanBiezen]

Thank you. We appreciate it.

[@eamonnscholtz6510]

Thank you, this explanation is really helpful! I have a silly question - why does the tension increase as the belt moves over the drum? Would the frictional force between the drum and the belt not reduce the tension?

[@achintyahaldar6626]

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

[@mridultyagi2995]

actually it is a question in ie Irodov

[@MichelvanBiezen]

Irodov has some great and challenging problems.

[@satishyadav894]

Awesome video lecture by Sir

[@batuhanatc7419]

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]

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

[@batuhanatc7419]

Thanks :)

[@AJ-et3vf]

Awesome video sir! Thank you!

[@MichelvanBiezen]

Thank you. Glad you liked it.

[@connectgfv6775]

clarity was very good.

[@nayanjadhav4472]

sir please take lecture on cable placed around 3 pipes

[@Siege2Sage]

You are the best. I love you.

[@kumarsamaksha7207]

awesome sir

[@tuanphamrmit]

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

[@MichelvanBiezen]

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]

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?

[@mqx133]

rope doesnt have mass

[@mariovaz4994]

THANK YOU !!!

[@vijayakumardeebaguntla5534]

Thank u sir

[@paulproofmath323]

How did you get theta/2 ?

[@nareshjoshi123]

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

[@rafiaumar6087]

Thank u wonderful explanation ....:)

[@alexkaralex3719]

What made you put b growing clockwise

[@Greenchecks101]

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

[@edsonlima3273]

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

[@MichelvanBiezen]

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]

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]

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]

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

[@12345mmmmas]

love u so much💙💙

[@Nameisyogesh-sh]

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

[@MichelvanBiezen]

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

[@nithin1729s]

Thanks❤🌹

[@MichelvanBiezen]

You're welcome 😊

[@Health_and_Wellness_with_Alex]

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

[@Health_and_Wellness_with_Alex]

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

[@MichelvanBiezen]

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

[@NSBeverything]

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

[@furkandurdu9615]

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]

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.

[@mihaly1027]

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

[@MichelvanBiezen]

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.

[@barandizmen4169]

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

[@MichelvanBiezen]

The side where the motor pulls the belt.

[@barandizmen4169]

@@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]

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

[@bckends_]

the result may be correct but the derivation is an absolute mathematical heresy

[@jmd.malones1597]

❤️

[@MichelvanBiezen]

Thank you.

[@tajinderkumar9019]

sir why didn't you consider the centrifugal force

[@MichelvanBiezen]

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]

Pully is not rotating it is just to start rotate

[@malayamandesh9932]

Dj nights nhi bhaiyon in logon ko bulao Institute mein

[@mechanicalengineering2773]

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

[@MichelvanBiezen]

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]

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

[@MichelvanBiezen]

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

[@mechanicalengineering2773]

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

[@chibwejonathan8146]

You made a mistake.

[@djt6fan]

I don't understand this shit. I think it's time to drop out of STEM.