Analytical Mechanics for Engineers by F. Seely, N. Ensign [non-OCR]

By F. Seely, N. Ensign [non-OCR]

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Allelogram may be in the plane At couple. B points C and two forces which -are may or not of the given each D of the introduce of opposite sense parallel to the forces of the given couple and P equal to them in magnitude. The force P at A and the upward force P at D may be replaced by their resultant. This resultant is an upward force, 2P, the action line of which is parallel to the ac- tion lines of the forces the given couple and ed half Hence the action is of locat- way between them. through 0, the point of intersection of the diagonals of the parallelogram.

Fig. 39) is acted Determine the resultant of the shown. on by the four forces forces. Solution. 20 Ib. R = ZF = 15 + 15 -20 -10=0. 24 lb. 15 lb. Therefore the resultant is not a a couple, C, the moment of which may be found by taking moments about 0. Thus, force, 24 Ib. -in. -in. will produce the same external effect on the arm (change in of 15 lb. FIG. 39. One forces, the rotational motion) as the four given is shown in the resultant couple having forces equal to 24 lb. figure. PROBLEMS 28. Fig.

15 lb. Therefore the resultant is not a a couple, C, the moment of which may be found by taking moments about 0. Thus, force, 24 Ib. -in. -in. will produce the same external effect on the arm (change in of 15 lb. FIG. 39. One forces, the rotational motion) as the four given is shown in the resultant couple having forces equal to 24 lb. figure. PROBLEMS 28. Fig. 40 represents a beam 12 ft. long acted upon by Find the anti-resultant of the five forces. 29. Five forces act on a body shown in Fig. 41.

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