Question

Calculate the force that must be applied to an object weighing 25 pounds for it to be in equilibrium, if it is on a plane inclined at 45 °

Answer 1

Answer:

17.7 lb

Explanation:

Assuming the force is parallel to the incline, draw a free body diagram of the object.  There are 3 forces:

Normal force N pushing perpendicular to the incline,

Weight force mg pulling down,

and applied force F pushing parallel to the incline.

Sum the forces in the parallel direction:

∑F = ma

F − mg sin 45° = 0

F = mg sin 45°

F = (25 lb) sin 45°

F = 17.7 lb