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Chapter 3 Static Equilibrium

Chapter 3 Static The Important StuffIn this Chapter we study aspecial caseof the dynamics of rigid objects covered in the lasttwo chapters. It is the (very important!) special case wherethe center of mass of the objecthas no motion and the object is not Conditions for Equilibrium of a Rigid ObjectFor a rigid object which is not movingat allwe have the following conditions: The (vector) sum of the external forces on the rigid object must equal zero: F= 0( )When this condition is satisfied we say that the object is intranslational Equilibrium .(It really only tells us thataCMis zero, but of course that includes the case where the objectis motionless.) The sum of the external torques on the rigid object must equalzero. = 0( )When this condition is satisfied we say that the object is inrotational Equilibrium .

3.2. WORKED EXAMPLES 57 35o q 40 N 50 N T1 T3 T2 Figure 3.1: System of masses and strings for Example 1. T1 T2 T2 T3 40 N 50 N (a) (b) 35o q Figure 3.2: (a) Forces at the left junction of the strings. (b) Forces acting at the right junction of the strings. Whoa! Four unknowns (T1, T2, T3 and θ) to solve for! How will we ever figure this out?

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