General Physics(ppt) Ch 12

General Physics(ppt) Ch 12 - Chapter 12 Static Equilibrium...

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Chapter 12 Static Equilibrium and Elasticity Two forces F 1 and F 2 are equivalent if and only if F 1 =F 2 and if and only if the two produce the same torque about any axi They are not equivalent. if and only if the two produce the same torque about any axis . Two forces of equal magnitude form a couple if their lines of action are different parallel lines. Chapter 12 Static Equilibrium and Elasticity Two necessary conditions for equilibrium of any object : 1. The resultant external force must equal zero. -> translational equilibrium 0 = Σ F 2. The resultant external torque about any axis must be zero. -> rotational equilibrium 0 = Στ Static equilibrium 0 = CM v and 0 = ω No linear or angular speed

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Chapter 12 Static Equilibrium and Elasticity 4 4 3 3 2 2 1 1 F r F r F r F r × + × + × + × = Σ Ο τ 4 ' 4 3 ' 3 2 ' 2 1 ' 1 O F r r F r r F r r F r r ' × - + × - + × - + × - = Σ ) ( ) ( ) ( ) ( τ ) ( 4 3 2 1 ' 4 4 3 3 2 2 1 1 F F F F r - F r F r F r F r + + + × × + × + × + × = If the net force is zero 0 = + + + 4 3 2 1 F F F F O O ' τ τ Σ = Σ If an object is in translational equilibrium and the net torque is zero about one point, then the net torque must be zero about any other point. Chapter 12
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General Physics(ppt) Ch 12 - Chapter 12 Static Equilibrium...

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