Homework help coeff of static friction

In summary, the coefficient of static friction is a dimensionless number (symbol μ) that represents the amount of force needed to overcome the static frictional force between two surfaces in contact. It can be calculated by dividing the maximum frictional force by the normal force, or determined experimentally by measuring the angle at which an object starts to slide on an inclined plane. The coefficient of static friction is affected by the type and roughness of materials, applied force, and environmental factors. It is important in understanding maximum force and designing structures and machines. It can be reduced by using lubricants, materials with lower coefficients of friction, increasing surface area of contact, or reducing the weight of the object.
  • #1
jwang023
19
0

Homework Statement


You are in a car accelerating the car at 15 m/s^2 without spinning tires out. determine the minimum coeff of static friction between the tires and the road to make this possible

Homework Equations





The Attempt at a Solution

 
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  • #2
Hi jwang023! :wink:

(have a mu: µ :wink:)

Hint: first, find the force needed to produce that acceleration …

what do you get? :smile:
 

1. What is the coefficient of static friction?

The coefficient of static friction is a dimensionless number that represents the amount of force needed to overcome the static frictional force between two surfaces in contact. It is denoted by the symbol μ (mu).

2. How is the coefficient of static friction calculated?

The coefficient of static friction can be calculated by dividing the maximum frictional force by the normal force between two surfaces. It can also be determined experimentally by measuring the angle at which an object starts to slide when placed on an inclined plane.

3. What factors affect the coefficient of static friction?

The coefficient of static friction is affected by the type of materials in contact, the roughness of the surfaces, and the amount of force applied. It also depends on the temperature and humidity of the environment.

4. Why is the coefficient of static friction important?

The coefficient of static friction is important in understanding the maximum force that can be applied before an object starts to slide on a surface. It is also crucial in designing structures and machines to ensure they can withstand the forces acting on them.

5. How can the coefficient of static friction be reduced?

The coefficient of static friction can be reduced by applying a lubricant or by using materials with lower coefficients of friction. Additionally, increasing the surface area of contact or reducing the weight of the object can also decrease the coefficient of static friction.

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