Vector Review Problems

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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
Vcomp1g1a Vcomp1g1b Vcomp1g1c Vcomp1g1d
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.)

 

4. Add vectors A, B, and C and find the resultant vector for problems a, b, c, and 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 73.6o
2b. 8.54 lb at 159.4o
2c. 8.54 lb at -69.4o
2d. 27.29 ft at 241.6o
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.