Vector Review Problems

1.  Find the x and y components of the following vectors, specifically stating each component.

a) 15lb at 0^o                                                         b) 27lb 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 = -8lb y = 3lb; c) x = 3lb y = -8lb;  d) x = -13ft y = -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:
1a. x = 15lb, y = 0lb
1b. x = 12.26 lb, y = 24.06 lb
1c. x = -8.17 ft, y = -12.58 ft
1d. x = 13.99 ft, y = -11.33 ft
2a. 17.72 ft at 73.6^o
2b. 8.54 lb at 159.4^o
2c. 8.54 lb at -69.4^o
2d. 27.29 ft at 241.6^o
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.