82_Problem CHAPTER 10

82_Problem CHAPTER 10 - PROBLEM 10.72 Two uniform rods, AB...

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PROBLEM 10.72 Two uniform rods, AB and CD , are attached to gears of equal radii as shown. Knowing that 3.5 kg AB m = and 1.75 kg, CD m = determine the positions of equilibrium of the system and state in each case whether the equilibrium is stable, unstable, or neutral. SOLUTION Potential Energy () 22 3.5 kg 9.81m/s sin 1.75 kg 9.81m/s cos ll V θ  −+ ×   ( ) ( ) 8.5838 N 2sin cos l =− + ( ) 8.5838 N 2cos sin dV l d ( ) 2 2 8.5838 N 2sin cos dV l d Equilibrium: 0: 2cos sin 0 dV d θθ = −− = or tan 2 = − Thus 63.4 and 116.6
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.

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