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Analytical mechanics for students of physics and engineering (1913)

Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 64

An illustration from Analytical mechanics for students of physics and engineering, 1913, leaf 64
ons, wehave EQUILIBRIUM OF RIGID BODIES 49 X = 2F + 3FGosl- 2Fcos^ - F - 2Fcos^ + Fcos- O O o o Y = 0-3Fsm~-2Fsml + 0 + 2F8m^ + FsiD.^ = -fVs. .: B = VF^ + 3F^= 2Fand tan 8 = — Vs. Therefore the resultant force hasa magnitude 2 F and makes an angleof — 60° with the x-axis. Taking the moments about… … 56. Resultant of a System of Parallel Forces. — Let R be the resultant of the parallel forces Fi, Fa, . . . , F„, which actupon a rigid body. Then, since the forces are parallel, theresultant force equals the algebraic sum of the given forces.Thus B=Fi + F2+ • ■ • +F„,and RD = Fidi + F2d2+ • ■ •…

Mechanics, Analytic

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