Find the velocity given coefficient of friction and radius?

In summary, the question is asking for the minimum speed at which the putty will stay in place on the edge of the disk. To find this, we can use the equations ac=v^2/r and Fs=M*N, where ac is the centripetal acceleration, v is the velocity, r is the radius, Fs is the static friction force, M is the mass of the putty, and N is the normal force. In order for the putty to stay in place, the static friction force must be greater than or equal to the centripetal force. By setting these two forces equal to each other and solving for v, we can find the minimum speed required for the putty to stay in place. Before attempting this
  • #1
Kataryx
1
0

Homework Statement


An disk has a radius of 0.2 meters. A lump of putty with a coefficient of static friction of 0.9 is stuck on the edge of the disk.

Let's say the disk starts at rest and gradually speeds up. At what speed will the putty just barely be able to stay in place on the edge of the disk?

Homework Equations


ac=v^2/r
at=(v-vi)/t
Fs=M*N

The Attempt at a Solution



I'm a bit stuck as to where I should start with this.[/B]
 
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  • #2
Hi Kataryx,
Welcome to Physics Forums!

You need to show some work before help can be offered. Did you draw a free body diagram for the putty? What forces are acting?
 

1. What is the formula for calculating velocity given coefficient of friction and radius?

The formula for calculating velocity in this scenario is: V = √(μ * g * r), where μ is the coefficient of friction, g is the acceleration due to gravity, and r is the radius.

2. Do I need to know the mass of the object to calculate the velocity?

No, the mass of the object is not needed in this calculation. Velocity can be determined solely by the coefficient of friction and radius.

3. How does the coefficient of friction affect the velocity?

The coefficient of friction is a measure of the resistance to motion between two surfaces. A higher coefficient of friction means there is more resistance, resulting in a lower velocity. Conversely, a lower coefficient of friction will result in a higher velocity.

4. Can the radius of the object affect the velocity?

Yes, the radius of the object can affect the velocity. A larger radius will result in a higher velocity, while a smaller radius will result in a lower velocity.

5. How does the acceleration due to gravity factor into this calculation?

The acceleration due to gravity, denoted as g, is a constant value of 9.8 m/s^2. It affects the velocity by providing the necessary force to overcome the coefficient of friction and move the object along the given radius.

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