c) 15 ft at 237o d) 18 ft at -39o
Statics & Strength of Materials
Problems Assignment - Vector Review Problems
1. Find the x and y components of the following vectors, specifically stating each component.
a) 15 lb. at 0o
b) 27 lb. at 63o
c) 15 ft at 237o
d) 18 ft at -39o
2. Find the vectors (magnitude and direction) that have
the following components.
a) x = 5 feet y = 17 feet; b) x = -8 lb. y = 3 lb.; c)x = 3 lb. y = -8 lb.; d)x = -13ft
= -24ft
3. Solve the following vector problems by adding vectors A and B to find the resultant vector for problems a,b, and c.
(a).
(b). 
(c).
4. Add vectors A, B, and C and find the resultant vector in diagrams a,b,c, and d.
(a). 
(b).
(c). 
(d).
5. Using diagram (a) above, find the following resultants:
a) R = 2 * A - B + 3 * C
b) R = -3 * A + 2 * B - C
Some Answers:
3a. Rx = -12.57 lb., Ry = 52.83 lb., R = 54.3 lb at 103.4o
3b. Rx = -15.16 n., Ry = -7.11n., R = 16.74 n at 205o
3c. Rx = 12.31 ft/s, Ry = -39.51 ft/s, R = 41.38 ft/s at 287.3o
4a. Rx = -4.54 m., Ry = 1.61 m., R = 4.82 m. at 160.5o
4b. Rx = 6.46 n., Ry = -35.11 n., R = 35.7 n at 280.4o
4c. Rx = -1.16 ft/s., Ry = -9.5 ft/s., R =
9.57 n at 263o
4d. Rx = 16.39 lb., Ry = 164.13 lb., R = 164.95 lb. at 84.3o
5a. Rx = 14.99 m., Ry = - 1.45 m., R = 15.07 m. at 354o.
5b. Rx = -10.62 m., Ry = 12.12 m., R = 16.11 m. at 131o.
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