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Unformatted text preview: 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 Example 95 • 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 96 • 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 ?...
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This note was uploaded on 10/21/2009 for the course PHYSICS 30 taught by Professor Dr.lotharfrommhold during the Spring '09 term at University of Texas at Austin.
 Spring '09
 Dr.LotharFrommhold
 Physics, Acceleration, Static Equilibrium

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