lecture16 - Static Equilibrium (Serway 12.1-12.3) Physics...

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Physics 1D03 Static Equilibrium (Serway 12.1-12.3)
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Physics 1D03 Equilibrium of a Rigid Body For a particle , “Equilibrium” means F net = 0, and then v = constant. For extended 2-D or 3-D objects, this is not enough! 0 = Σ F Here , so a CM = 0. But the object is not in equilibrium: It will spin (angular acceleration). - F 1 A “force couple”
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Physics 1D03 Equilibrium of a Rigid Body 0 = Σ F 1) a = 0 (no translational acceleration), so (no net force) 0 = Σ τ 2) α = 0 (no angular acceleration), so (no net torque) Net external forces and net external torque must be zero for a body in equilibrium.
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Physics 1D03 Example: w 2 φ = 30° A B C 5 / 6 L 1 / 6 L Steps: 1) Free-body diagram for the beam. The forces will be the weights w 1 and w 2 , and the forces from the supports at A and C . 2) Net force = 0 (2 equations), net torque =0 (1 equation). 3) Solve for up to 3 unknowns. Uniform beam AC: weight w 1 = 100 N length L = 3.00 m Hinge at A, cable from B to C w 2 = 200 N Find : tension in BC , force at A .
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lecture16 - Static Equilibrium (Serway 12.1-12.3) Physics...

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