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# G9 - The Conditions for Equilibrium Expect static...

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The Conditions for Equilibrium Expect static equilibrium whenever aceleration vector a = { a x ; a y ; a z } and angular acceleration vector α are zero, vector F net = 0 vector τ net = 0 The first of these equations gives you up to three conditions (for x , y , and z components); the lower formula gives between 1 and 3 conditions: all of these are necessary for static equilibrium ! c circlecopyrt L.Frommhold . – p.17/17

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Example 9-5 Net force F y = 0 : F A + F B - F beam - F P = 0 Net torque τ z = 0 ! Axis through point P, ( any point will do !) Net torque =0 : 0 = - R 1 mg - R 2 Mg + R 3 F B Solve for F B ! Now use F y = 0 (above) to compute F A c circlecopyrt L.Frommhold . – p.16/17
Example 9-6 F x , net = 0 : F Hx - F Tx = 0 F y , net = 0 : F Hy - mg - Mg + F Ty = 0 τ z,net = 0 , axis to the right, R 1 mg - R 2 F Hy = 0 4 unknowns: F Hx , F Hy , F Tx , F Ty ; only 3 equations ? The fourth equation: tan θ = F Ty /F Tx c circlecopyrt L.Frommhold . – p.15/17

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Example 9-7 Equilibrium conditions: 0 = F Cx - F W 0 = F Cy - mg 0 = 1 2 x 0 mg - x 0 F W (axis @ left, point C) Unknowns F
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