CE 2301 Statics Spring 2014 - Homework Set 04

Problem 2-26. Two forces act at point O as shown. The blue lines lie in the xy plane and will serve as the lines of action for the xy projections of the vectors. Determine the resultant of the two vectors. Report your answer (a) as a Cartesian vector and (b) in terms of its magnitude and direction angles.

Problem 2-34. Forces 1F and 2F have their tails at the origin of coordinates and point towards points A and B, respectively. Express both forces as Cartesian vectors, find the angle between them, and find

their resultant, 1 2R F F= + . Express the resultant as a Cartesian vector.

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CE 2301 Statics Spring 2014 - Homework Set 04

Problem 2-40. The co-planar forces shown to the right. Determine the magnitudes of the projections of

(a) 3F in the direction of 1F , (b) 3F in the direction of 2F , (c) 1F in the direction of 2F , and (d) 2F in the

direction of 1F .

Problem 2-42. Force ( )F 3 i 2 j 6k kips= + acts at point C. Resolve force F into components parallel and perpendicular to (a) a line that passes through points A and B; (b) a line that passes through points A and C; and (c) a line that passes through points B and C.

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