Calculating Coefficient of Friction for a Crate on an Inclined Surface

In summary, the conversation discusses a 225 kg crate resting on an inclined surface with an angle of 20 degrees and a required horizontal force of 535 N to start the crate moving. The coefficient of friction between the crate and the incline is determined using Newton's laws of motion and is found to be 0.665.
  • #1
kaspis245
189
1

Homework Statement


A 225 kg crate rests on a surface that is inclined above the horizontal at an angle of 20o.
A horizontal force (F = 535 N parallel to the ground, not the incline) is required to start the crate moving down the incline. What is the coefficient of friction between the crate and the incline?

P.S. Ftr is a frictional force.

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Homework Equations


Newton's laws of motion.

The Attempt at a Solution


image.jpg

image.jpg


It doesn't work.
The answer must be 0.665 .[/B]
 
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  • #2
Funny. That's exactly what I get. What is ##\cos\alpha## on your calculator ?
 
  • #3
I missed one number xD. Sorry for wasting your time.
 

Related to Calculating Coefficient of Friction for a Crate on an Inclined Surface

1. What are the three laws of motion?

The three laws of motion, also known as Newton's laws, are the foundational principles of classical mechanics. They state that:
1. An object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity, unless acted upon by an external force.
2. The force acting on an object is equal to its mass times its acceleration, or F=ma.
3. For every action, there is an equal and opposite reaction.

2. What is the difference between mass and weight?

Mass is the measure of the amount of matter in an object, while weight is the measure of the force of gravity acting on an object. Mass is constant regardless of an object's location, but weight can change depending on the strength of gravity in different locations.

3. How do forces affect an object's motion?

Forces can change an object's motion in several ways. If there is no net force acting on an object, it will maintain its current state of motion. If there is a net force, the object will accelerate in the direction of the force. Additionally, forces can also cause objects to change direction or shape.

4. What is the difference between balanced and unbalanced forces?

Balanced forces are equal in magnitude and opposite in direction, resulting in no net force on an object. This means the object's motion will not change. Unbalanced forces, on the other hand, have a net force and will cause an object to accelerate in the direction of the greater force.

5. How do you calculate the force of an object?

The force of an object can be calculated using Newton's second law, F=ma, where F represents force, m represents mass, and a represents acceleration. Force can also be calculated using the formula F=mg, where g represents the acceleration due to gravity (9.8 m/s² on Earth). This applies to objects near the surface of the Earth, but can vary depending on location and altitude.

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