Angle of Incline Calculation with Coefficient of Friction

In summary, the conversation is about finding the angle of an inclined plane given certain forces and coefficients of friction. The final answer is 28.73 and the equation requires finding the angle perpendicular to the surface and multiplying it by the coefficient of friction, which will give the force countering the 35N force.
  • #1
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Hey would someone mind taking a crack at this one? I know the final answer is 28.73, however I can't figure out the equation to get it.

On a certain inclined plane, a body weighs 50N and requires a force of 35N to pull it up the incline. If the coefficient of friction is 0.25, find the angle of the incline.
 
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  • #2
Why don't you take a crack at it?

Call the angle θ and analyze the forces acting on the body as it is pulled up the incline.
 
  • #3
at what angle is the force being applied?
 
  • #4
well, first you need to remember that the weight (50N) is directed downwards, but the force of friction needs the weight applied PERPENDICULAR to the surface. Find this, then you will get your angle.
 
  • #5
Aeroneer said:
well, first you need to remember that the weight (50N) is directed downwards, but the force of friction needs the weight applied PERPENDICULAR to the surface. Find this, then you will get your angle.

parallel
 
  • #6
Mu naught said:
parallel

no. you must have misunderstood.
I meant the angle perp. multiplied by the coeff. of friction will give u your force countering the 35N (which is assumed to be equal). so fill in the blanks to find the angle.
 

FAQ: Angle of Incline Calculation with Coefficient of Friction

1. What is the angle of incline?

The angle of incline is the angle at which a surface is tilted or inclined.

2. How does friction change at different angles of incline?

Friction increases as the angle of incline increases, until it reaches a maximum value known as the angle of repose. After this point, friction decreases.

3. Why is the angle of repose important?

The angle of repose is important because it represents the maximum angle at which an object can rest without sliding down the inclined surface. It is a useful concept in understanding the stability of objects on slopes.

4. How is the coefficient of friction related to the angle of incline?

The coefficient of friction is a measure of the amount of friction between two surfaces. It is related to the angle of incline because as the angle of incline increases, the coefficient of friction also increases until it reaches the angle of repose.

5. How does the weight of an object affect friction on an inclined surface?

The weight of an object does not directly affect friction on an inclined surface. However, a heavier object may have more weight pushing down on the surface and therefore more friction compared to a lighter object on the same surface.

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