Compute the vertical and horizontal components for each of the forces shown. In each case the force is perpendicular to the incline.
Problem
(a)
Draw the free body diagram as follows:
Calculate the horizontal component of the force.
Resolve the forces horizontally.
Substitute 650 lb for F.
Therefore, the horizontal component of the force is .
Calculate the vertical component of the force.
Resolve the forces vertically.
Substitute 650 lb for F.
Therefore, the vertical component of the force is .
(b)
Draw the free body diagram as follows:
Calculate the angle .
Calculate the horizontal component of the force.
Resolve the forces horizontally.
Substitute 300 lb for F.
Therefore, the horizontal component of the force is .
Calculate the vertical component of the force.
Resolve the forces vertically.
Substitute 300 lb for F.
Therefore, the vertical component of the force is .