Help with question related to friction on an incline?

• pokeefer
In summary, The conversation discusses a car with a mass of 560 kg parked on a 4.5-degree inclined hill. The force of friction needed to hold the car on the slope is calculated to be 427N. For the second part, the coefficient of static friction is needed to determine the friction force when the car is about to slip, and this is given by the equation Ff = u x Fn = u x mg(costheta).
pokeefer

Homework Statement

A car with a mass of 560 kg is parked on a hill inclined at 4.5 degrees to the horizontal.

a.) What is the force of fricton necessary to hold the car on the slope?

b.) If there is ice on the hill and the car is about to slip, what is the coefficient of static friction?

Homework Equations

Ff = u x Fn = u x mg(costheta)

The Attempt at a Solution

The answer I got for part a

a =
0 = - (9.8sin4.5 + U9.8cos4.5)
u = 0.078
Ff = (0.078)(560)(9.8)(cos4.5) Ff = 427N

I'm stuck on Part B

Thanks.

hi pokeefer!
pokeefer said:
a.) What is the force of fricton necessary to hold the car on the slope?

b.) If there is ice on the hill and the car is about to slip, what is the coefficient of static friction?

I'm stuck on Part B

it's just asking for the relation between friction force and the coefficient of friction

1. What is friction on an incline?

Friction on an incline is the resistance force that occurs when an object slides or rolls down an inclined plane. It is caused by the interaction between the surfaces of the object and the incline.

2. How does the angle of the incline affect friction?

The steeper the incline, the greater the force of friction will be. This is because the component of the object's weight that is parallel to the incline increases as the angle increases, resulting in a stronger force of friction.

3. How can friction on an incline be calculated?

The force of friction on an incline can be calculated using the formula: F = μN, where F is the force of friction, μ is the coefficient of friction, and N is the normal force perpendicular to the incline. The coefficient of friction can be determined experimentally or found in reference tables.

4. What factors affect the coefficient of friction on an incline?

The coefficient of friction on an incline can be affected by several factors, including the materials of the object and the incline, the roughness of the surfaces, and the presence of any lubricants. The weight and shape of the object can also play a role in determining the coefficient of friction.

5. How can friction on an incline be reduced?

Friction on an incline can be reduced by using a smoother surface, such as a polished ramp, and by adding a lubricant between the object and the incline. Additionally, reducing the weight of the object or changing its shape can also decrease the force of friction.

Replies
5
Views
5K
Replies
5
Views
1K
Replies
15
Views
2K
Replies
1
Views
1K
Replies
9
Views
4K
Replies
8
Views
1K
Replies
18
Views
2K
Replies
3
Views
21K
Replies
5
Views
6K
Replies
19
Views
2K