Answer:
- 374.6 lb down the ramp
- 927.2 lb perpendicular to the ramp
Explanation:
The force due to gravity decomposes into vectors proportional to the sine and cosine of the angle the ramp makes. I find it convenient to remember that when the angle is zero, the full force due to gravity is perpendicular to the ramp. That is ...
perpendicular force = gravitational force × cosine(ramp angle)
= 1000 lb × cos(22°) ≈ 927.2 lb
parallel force = gravitational force × sine(ramp angle)
= 1000 lb × sin(22°) ≈ 374.6 lb
The boat is being pulled down the ramp by a force of about 374.6 lb, and is pressing perpendicular to the ramp with a force of about 927.2 lb.