Static friction on an inclined plane.

In summary, the conversation discusses a problem involving a block on an inclined plane and the calculation of the frictional force. The proposed solution is f=mgcos theta, but the correct answer is f=mgsin theta. The conversation also goes into detail about the components of weight and how they affect the motion of the block. A revised picture is provided for further clarification.
  • #1
megatron99
5
0

Homework Statement



http://img124.imageshack.us/img124/9997/problem3.jpg



Homework Equations



f=mgcos theta


The Attempt at a Solution


I am thinking the answer is f = mgcos theta because gravity only acts on y-component but the answer is f=mgsin theta . Can anyone explain?
 
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  • #2
In the problem, f is the frictional force ,not the normal reaction.
Frictional force acts in the opposite direction of the motion of the block.The block moves down due to the component of weight along the inclined plane. What is that component?
 
  • #3
rl.bhat said:
In the problem, f is the frictional force ,not the normal reaction.
Frictional force acts in the opposite direction of the motion of the block.The block moves down due to the component of weight along the inclined plane. What is that component?

x-component of weight?
 
  • #4
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1. What is static friction on an inclined plane?

Static friction on an inclined plane is the force that prevents an object from sliding down the plane due to the component of its weight that is acting parallel to the surface. It is the frictional force between the object and the surface of the inclined plane.

2. How is static friction on an inclined plane calculated?

The static friction force on an inclined plane is calculated using the formula Fs = μsN, where Fs is the static friction force, μs is the coefficient of static friction, and N is the normal force perpendicular to the surface of the plane.

3. What factors affect the magnitude of static friction on an inclined plane?

The magnitude of static friction on an inclined plane is affected by the coefficient of static friction, the weight of the object, and the angle of the incline. The roughness of the surface and the presence of any external forces may also impact the magnitude of static friction.

4. How does the angle of the inclined plane affect static friction?

The angle of the inclined plane affects the magnitude of static friction by changing the normal force acting perpendicular to the surface. As the angle increases, the normal force decreases, resulting in a decrease in the static friction force.

5. Can static friction on an inclined plane be greater than the weight of the object?

Yes, static friction on an inclined plane can be greater than the weight of the object if the angle of the incline and the coefficient of static friction are large enough. In this case, the object will not slide down the plane, and the static friction force will be equal to the component of the weight acting parallel to the surface.

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