Q:

If the angle of the incline is less than the limiting angle of repose, which of these statements is true? [ ] fs = the coefficient of static friction multiplied by the normal force [ ] fs > the coefficient of static friction multiplied by the normal force [ ] fs < the coefficient of static friction multiplied by the

Accepted Solution

A:
Answer:If the angle of the incline is less than the limiting angle of repose: fs < the coefficient of static friction multiplied by the normal forceStep-by-step explanation:The friction force is variable and will depend on the external reactions.If a body is over an inclined plane with an angle less than the limiting angle of repose, the friction force (fs) will increase as a function od the angle of inclination and will be equal to the body's weight projection parallel to the plane.At the limiting angle of repose the friction force will be equal to the coefficient of static friction times the normal force (after that point, the body will start to slide down the plane), but at any angle less than that the friction force will always be less than the named multiplication. Note that the coefficient of the static friction can be calculated as the tangent of the limiting angle of repose.