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equilibrium_3%20class%20%2012[1]

equilibrium_3%20class%20%2012[1] - Topics Equilibrium...

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Topics Equilibrium Examples Multiple FBDs Use of Inclined Axes Tipping Book Sections 3/1-3/4

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T W 1 2 mass = 225 kg Find the tension, T, required to hold the weight in equilibrium. The strings on pulleys1 and 2 (which are joined) are attached to the pulleys at the dots A B (multiple FBDs) 6-56 1 2 100 300 r mm r mm = =
T A T TA 1 2 T B F B T B T T (1) (2) (3) + + + TA 1 2 100 300 r mm r mm = = ( 29 ( 29 225 9.81 2207.25 W N = = 0 2 0 2 y A A F T T T T = - = = ( 29 ( 29 ( 29 ( 29 0 100 300 0 2 3 3 O A B A B M T T T T T = - = = = 0 2 2 2207.25 0 3 827.7 y F T T T N = + - = =

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(use of inclined axes) mass = 3500 kg 30o 38o G 2 m 2 m 1 m 3 m 1.5 m Determine the force in the cable and the forces exerted on the wheels at A and B by the inclined surface A B 6-58
A B T 30o 38o x y W W =(3500)(9.807) = 34,325 N + 2 2 1.5 3 1 + 60 60 + 0 cos38 sin30 0 21,780 21.8 x o o F T W T N kN = - = = = ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 0 4 sin30 1.5 cos30 2 cos38 3tan38 sin38 5 0 35,245 35.2 A M B W W T T B N kN = + - - - = = = 0 cos30 sin38 0 7890 7.89 y F A B W T A N kN = + - - = = =

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x y z 3' A B C 50 lb P ex ey B C A A three foot radius table is supported symmetrically by three legs (each separated by 120o), as shown.
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equilibrium_3%20class%20%2012[1] - Topics Equilibrium...

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