Question

Calculate the force needed to hold a 100 lbs car on an inclined plane that makes an angle of 30° with the horizontal, if the force is to be parallel to the incline. Sove for the component method.

Answer 1

The component of the weight of the car that is be parallel to the incline:
W sin⁡α
For the equilibrium:
F=W sin⁡α
F=100 sin⁡30=100(0.5)=50 lbs.