1. Weight Components on a Rampmg
1. Weight vector points down with a size of mg. The ramp angle is . x y
2. Draw x-y axes with x-axis parallel to ramp. This makes y-axis perpendicular to ramp. A C
3. Draw the component right triangle ABC showing the x-component and y-component of the weight vector. B  D
4. Draw the right triangle ADC. Note angle ADC is .
90- 
5. Thus, angle BAC is 90- .  
6. Examine the component right triangle ABC. Note angle ABC is .
mg cos
mg sin
7. The x-component is opposite this angle  so is given by mg sin .
The y-component is adjacent to this angle  so is given by mg cos.