WORLD FOR CIVIL

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# at 0^o b) 27# at 63^o


c) 15 ft at 237^o d) 18 ft at -39^o

2. Find the vectors (magnitude and direction) that have the following components.
a) x = 5 feet y = 17 feet; b) x = -8 # y = 3 #; c)x = 3# y = -8#; 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. (Answers at bottom of page.)

(a). (b). (c).

4. Add vectors A, B, and C and find the resultant vector for problems 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 103.4^o
3b. Rx = -15.16 n., Ry = -7.11n., R = 16.74 n at 205^o
3c. Rx = 12.31 ft/s, Ry = -39.51 ft/s, R = 41.38 ft/s at 287.3^o
4a. Rx = -4.54 m., Ry = 1.61 m., R = 4.82 m. at 160.5^o
4b. Rx = 6.46 n., Ry = -35.11 n., R = 35.7 n at 280.4^o
4c. Rx = -1.16 ft/s., Ry = -9.5 ft/s., R = 9.57 n at 263^o
4d. Rx = 16.39 lb., Ry = 164.13 lb., R = 164.95 lb. at 84.3^o
5a. Rx = 14.99 m., Ry = - 1.45 m., R = 15.07 m. at 354^o.
5b. Rx = -10.62 m., Ry = 12.12 m., R = 16.11 m. at 131^o