PH 122 Study Guide - Final Guide: Bending Moment, Free Body Diagram, Parallel Axis Theorem

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17 Mar 2015
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Equilibrium of a particle in 2-d: free body diagram- show all external forces acting on body with no contact to surroundings. Include x-y axis for sign convention: tension forces act out of the system, frictionless pulley- tension on either side of pulley is equal. This produces resultant vector magnitude is given by pythagorus" theorem and angle found by inverse tan. Mo = r x f1 + r x. 3 orthogonal motions 3 reactions: support prevents translation in a direction if rotation prevented a couple moment forms, three-force objects- in equilibrium with 3 forces forces must be concurrent. If negative answer then the assumed direction at start is opposite. Trusses: two-force members either compression or tension, all members are weightless, connections assumed pin-jointed, all forces act at joints, truss is determinant if m+r= 2j (m=no. of members, r=reactions, j=joints), to solve:

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