Direction of friction in a yoyo rolling on an inclined plane

In summary, the direction of friction in this problem is downwards to prevent slipping of the yoyo on the incline. This is because the perimeter of the yoyo is larger than the perimeter of the cylinder it is wrapped around, causing a difference in the traveled distance and the length of the string. This can be seen in the principle of rolling motion explained in the provided link.
  • #1
dahoom102
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2
Homework Statement
In this problem why is the friction directed downwards not upwards? Shouldn't the velocity of the point of contact with the ground be zero and therefore mgsin = fs ? All of the problems i studied the friction was in the upward direction i just wanna know why is it different here.
Relevant Equations
F.B.D
Mgsin
fs
Screenshot_20210304-190909_Drive.jpg
 
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  • #2
dahoom102 said:
In this problem why is the friction directed downwards not upwards?
If there was no friction, which way would the yoyo rotate? And, therefore, which way would the contact point of the yoyo tend to slip on the surface of the incline? Which way must friction act to prevent such slipping?
 
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  • #3
The perimeter of the yo-yo is bigger than the perimeter of the cylinder around which the syring is wrapped.
For one revolution, the traveled distance and the length of string are different: one must yield.

Please, see:
https://www.physicsforums.com/insights/explaining-rolling-motion/

:cool:
 
  • #4
dahoom102 said:
In this problem why is the friction directed downwards not upwards?
Take moments about the centre of the yoyo. What does that tell you about F and fs?
What if the string were wound the other way around, so that F is applied above the centre?
 
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FAQ: Direction of friction in a yoyo rolling on an inclined plane

What is the direction of friction in a yoyo rolling on an inclined plane?

The direction of friction in a yoyo rolling on an inclined plane is opposite to the direction of motion of the yoyo. This means that the frictional force acts in the direction opposite to the movement of the yoyo, trying to slow it down.

Why does friction act in this direction?

This is due to the nature of friction, which always acts to oppose the relative motion between two surfaces. In this case, the yoyo is rolling down the inclined plane, so the frictional force acts in the opposite direction to try and prevent this motion.

Does the direction of the inclined plane affect the direction of friction?

Yes, the direction of the inclined plane does affect the direction of friction. If the inclined plane is angled downwards, the frictional force will act upwards, while if the inclined plane is angled upwards, the frictional force will act downwards.

How does the mass of the yoyo affect the direction of friction?

The mass of the yoyo does not directly affect the direction of friction. However, a heavier yoyo will experience a greater force of friction compared to a lighter yoyo, as the weight of the yoyo will increase the normal force between the yoyo and the inclined plane.

Can the direction of friction be changed in a yoyo rolling on an inclined plane?

Yes, the direction of friction can be changed by altering the direction of motion of the yoyo. If the yoyo is rolling up the inclined plane, the direction of friction will be reversed and act in the same direction as the motion of the yoyo. Additionally, changing the surface materials of the yoyo and the inclined plane can also affect the direction of friction.

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