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### Course: MCAT > Unit 9

Lesson 4: Vector analysis and forces acting on an object- Normal forces questions
- Force of tension questions
- Forces on inclined planes questions
- Balanced and unbalanced forces
- Normal force and contact force
- Normal force in an elevator
- Slow sock on Lubricon VI
- Normal forces on Lubricon VI
- Inclined plane force components
- Ice accelerating down an incline
- Force of friction keeping the block stationary
- Correction to force of friction keeping the block stationary
- Force of friction keeping velocity constant
- Introduction to tension
- Introduction to tension (part 2)
- Tension in an accelerating system and pie in the face
- Intuition on static and kinetic friction comparisons
- Static and kinetic friction example

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# Correction to force of friction keeping the block stationary

The video corrects a calculation error from a previous lesson on determining the coefficient of static friction. The instructor recalculates the coefficient using the correct values, resulting in a coefficient of static friction of 0.59. Created by Sal Khan.

## Want to join the conversation?

- Isn't the additional force of 1 N pretty arbitrary? Wouldn't the budging force be just over 49, so the coefficient of friction would be 49/49sqrt3=1/sqrt3?(9 votes)
- This was completely confusing me as well: how did Sal come up with 1N?

All he's saying is that with the hypothetical materials of the block and plane (which are completely unknown really) he began applying force and at 0.5N it didn't move, at 0.99N it didn't move, but finally at exactly 1N the block began to move. So in this case the coefficient of static friction was 49N at rest + the 1N extra force to finally make it move = 50N (or budging force) and divide that by the normal force to get coef of static friction of 0.59 for this scenario's materials.

In other words, he could've just as easily said it took 10N to finally move the object. He tried 5N, then 7N, 9.99N and finally at 10N the object moved. in this case the budging force would've been 59N (the 49N of parallel force + the extra 10N of force to finally get the block to move) and the coef would've been 59N / 49*sqrt3N = mu(static) or 0.695.(15 votes)

- what is coefficient? what is it's usage in this question? thanks(2 votes)
- This is the "coefficient of static friction". It is a dimensionless measure of how much frictional force exists between an object and a surface. It indicates the force resisting the object to get started moving. The coefficient of static friction is typically larger than the coefficient of kinetic friction, which indicates the friction force that exists while the object is moving.(7 votes)

- Wait, isn't the coefficient of static friction the tan of theta? That is what my textbook says. So shouldn't the coefficient of static friction be tan(theta) = tan(30) = 0.577 ?(2 votes)
- No. What your textbook probably says, that an angle theta for which a block will begin to move spontaneously under its own weight on an inclined plane, must be related to the coefficient of friction between block and the incline, mu, as mu=tan(theta). That is called the angle of repose. mu is a property of the nature of surfaces in contact only.(6 votes)

- I'm still very confused on the "budging force" example. Normally when asked to find the coefficient for static friction you are only told so much information. how do we come up with the "budging force" given limited information. 1N seemed pretty arbitrary. Please help!(1 vote)
- Is static friction a constant? I am confused as to why it was 1N when it could have been 0.1. Wouldn't that change the static friction? Is the static friction different for different materials, and how would that be calculated or would it have to be given?(4 votes)

- why is energy a scalar quantity(4 votes)
- It has no direction, and doesn't follow the laws of vector addition(1 vote)

- Why did he add additional 1N? Can't he add .5N (or any other number) because that is still greater than 40N?(2 votes)
- Yes, he could have. Adding 1N just made the math easier to handle than a decimal or something large 1,546,785.(3 votes)

- What is the difference between static and kinetic friction(2 votes)
- Static Friction is the friction present in a stationary object. In order to set a object in motion, the applied force must be greater than the force of static friction. Kinetic friction on the other hand is the force of friction present when a object is moving. Static friction will become kinetic friction once the object has been set in motion.(1 vote)

- what are the units of the coefficient of static friction?(1 vote)
- It is unitless, otherwise friction would have units different from the normal force, so it would not be a force.(3 votes)

- I think Sal used 1 N additional force because he wanted to just overcome the static friction. Had it been a greater additional force, coefficient of Kinetic friction would have come into action. Correct me if I'm wrong.(2 votes)
- Yes. It was only a hypothetical scenario so that Sal can show us how a budging force affects the 'coefficient of static friction'.(1 vote)

- how to calculate gravitational potential energy of a mass on inclined plane of height H?(1 vote)
- g.p.e is entirely independent of everything except the relative positions of the 2 bodies, so g.p.e = mgH (assuming the center of mass is a height H above the reference point), as always.(1 vote)

## Video transcript

Just realized that I
typed in the wrong numbers at the end of the
last video when I was trying to put
them in the calculator. We were trying to determine the
coefficient of static friction, and it's 50 newtons divided by
49 square roots of 3 newtons. And in the last video, by
accident, in the calculator, instead of doing 49
square roots of 3, I wrote 40 square roots of 3. So let's actually
calculate it again. 50 divided by 49 times--
let me write it this way, make sure we get-- 49
times the square root of 3 gives us a coefficient of static
friction of, if we round it, 0.59. So this is equal to 0.59. And so that's it. I just forgot to-- I
did the calculation wrong on the calculator
in the last video.