MAE_101-Quiz_1-Solution

# MAE_101-Quiz_1-Solution - Quiz 1 Solution 1 MAE 101 Statics...

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MAE 101. Statics and Strength of Materials © G. E. Orient 2006 1 Quiz 1 - Solution

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MAE 101. Statics and Strength of Materials © G. E. Orient 2006 2 C x C y The mass m = 120 kg. Determine the forces on member ABC Reactions: FBD of the entire structure, equilibrium Element ABD ; FBD and equilibrium Problem 1 A x A y E x mg l l E mg l E l M N mg A mg A W A F N mg l l A E A F x x A Y y y y x x x x 2 1 1 2 ) ( 2 1 2 0 2 1177 0 1570 2 0 = = - = = = = - = - = - = - = = + = l 1 l 1 l 2 mg A x A y mg B y 0 2 2 0 1570 2 0 1 1 1 ) ( 2 1 = - + - = = - - + = = = = + = mg l C l B l M mg B C A F N mg l l C C A F y y A y y y y x x x x N mg B N mg C mg B C B C y y y y y y 2354 2 2354 2 2 2 0 = = = = = - = - C x C y N C C C y x 2830 ) ( ) ( 2 2 = + = E x B y C
MAE 101. Statics and Strength of Materials © G. E. Orient 2006 3 Each of the uniform l=1m bars has a mass of m=4 kg . The coefficient of static friction between the bar and the surface at B is μ=0.2 . (a) If the system is in equilibrium, what is the magnitude of the friction force exerted on the bar at B ? (b) What is the minimum coefficient of friction necessary to maintain equilibrium?

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