Angle of Incline Calculation with Coefficient of Friction

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To calculate the angle of incline, the forces acting on a 50N body being pulled up with a 35N force must be analyzed, considering the coefficient of friction at 0.25. The weight acts downward, while friction opposes the motion, requiring the weight component perpendicular to the incline to be factored in. The relationship between the angle, weight, and friction must be established to derive the necessary equation. The final answer for the angle of incline is confirmed to be 28.73 degrees. Understanding the interplay of these forces is crucial for accurate calculations.
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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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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.
 
at what angle is the force being applied?
 
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.
 
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
 
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.
 

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