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Analytical mechanics for students of physics and engineering (1913)

Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 66

An illustration from Analytical mechanics for students of physics and engineering, 1913, leaf 66
g. 36. Taking the sum of the components along the x and y directions, wehave EQUILIBRIUM OF RIGID BODIES !.» X = 2F + 3Fco3|-2Fcos|-F-2fco8= • I = F. -fVs. ... R = y/f* + 3 p*= 2 Fand tan 8 = — V3. Therefore the resultant force hasa magnitude 2 F and makes an angleof —60° with the .r-axis. Taking… … Fig. 36. 56. Resultant of a System of Parallel Forces. — Let R be theresultant of the parallel forces Fi, F2, . \ . , F„, which aclupon a rigid body. Then, since the forces arc parallel, theresultant force equals the algebraic sum of the given forces.Thus R=Fi + F2+ • • • +Fn,and RD = Fxdx +F2d2+ ■…

Mechanics, Analytic

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