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# Chapter 4 - 4.1 Equilibrium and Free-Body Diagram System An...

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4.1 Equilibrium and Free-Body Diagram System: An isolated portion of a machine or structure Equilibrium: If the system to be studied is motionless, or has constant velocity, Then the system has zero acceleration. Under this condition, the system is said to Be in equilibrium. = = 0 0 M F Sum of force (moment) acting upon a system is zero

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The system to be studied can be complicated: Multiple components Solution: To free or isolate a portion or a segment of the system. The original effect on the segment must be represented: Using interacting forces Or moments. The isolated subsystem with all the forces and moments due to external effects and Reactions with the main system is called a free body diagram.
Fig. P4.2a Example 4-1: Gear Reducer Input and output shafts AB and CD Are rotating at constant speed ω i , ω o. Input torque T i = 240lbf.in and T 0 . Shafts are supported by bearings at A,B,C,D. The Pitch radii of gears G 1 And G 2 are r 1 =0.75 in and r 2 =1.5 in.

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