Incline plane and static friction

In summary, the block on an inclined plane will remain motionless until the angle of the plane reaches 23°. The coefficient of static friction between the plane and the block can be calculated using the formula F(static friction)= u(s) Fn and the given components of mgsin(23) and mgcos(23). The tangent of the sliding angle is equal to the coefficient of static friction, which in this case is 0.4244.
  • #1
linnus
23
0

Homework Statement



A block sits on an inclined plane, which is slowly being raised. The block remains motionless until the angle the plane makes with the horizontal is 23°. At this angle, the block begins to slide down the plane. What is the coefficient of static friction between the plane and the block?

Homework Equations



F(static friction)= u(s) Fn
mgsin(23)= x component
mgcos (23)= y component
F=ma

The Attempt at a Solution



I don't know where to even start since it doesn't give me a mass or weight...
 
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  • #2
This angle at which the block just starts to slide is called sliding angle. What is the relation between the tangent of sliding angle and coefficient of static friction?
 
  • #3
coefficient of static friction=tan (x)
oh..so the answer is tan (23)=.4244
Thanks!
 

1. What is an inclined plane?

An inclined plane is a simple machine that is a flat surface that is raised at an angle. It is used to reduce the amount of force needed to move an object from one height to another.

2. How does an inclined plane work?

An inclined plane works by increasing the distance over which an object must be moved, thus reducing the amount of force needed to move the object. The longer the inclined plane, the less force is required to move the object.

3. What is the relationship between an inclined plane and static friction?

An inclined plane and static friction have an inverse relationship. As the angle of the inclined plane increases, the force of static friction decreases. This means that it is easier to move an object up an inclined plane at a steeper angle.

4. How does the angle of the inclined plane affect the force required to move an object?

The angle of the inclined plane directly affects the force required to move an object. As the angle increases, the force required decreases. This is because the longer the inclined plane, the less force needed to move the object.

5. What is the difference between kinetic friction and static friction?

Kinetic friction is the force that opposes the motion of an object as it slides along a surface, while static friction is the force that prevents an object from moving when a force is applied to it. Static friction is greater than kinetic friction, and must be overcome in order to start an object in motion.

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