Since forces are vector quantities, you must add them geometrically ?instead of algebraically.? This can be done by calculating the x and y ?components o

1-8. Determine angles a, b, and c (Figure P1–8).

1–12. Determine length CE for the similar triangles shown in Figure P1–12.

1–23. Determine the length of side C of the triangle shown in Figure P1–23.

2–2. Determine the resultant and indicate the angle or slope for each right-angle force system shown in Figure P2–2.

2–9. Determine the resultant force on the lever shown in Figure P2–9.

2–19. Find the horizontal and vertical components of each vector in Figure P2–19.

2–33. Find the resultant of the forces shown in Figure P2–33.

3–1. Calculate the moment about point A (Figure P3–1). (Each section represents 1 ft2.)

3–8. Determine the moment of the 1800-N force about (a) point C and (b) point B of the engine hoist shown in Figure P3–8.

3–20. For the system shown in Figure P3–20 determine the moment about (a) point A and (b) point B.