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Sol prob equilibrium
1.
5-1
FBD Det Reaction in 5-11 ∑Fx=0 RBcos 30-RAsin30=0 RA= 3 RB 1 ∑Fy=RBSin30+RACos30-9.8*50=0 2 From1in2 RB=245N RA=424.35N 5-2
2.
∑Fx= RACos60-150+Bx=0 ∑Fy= By+360+RASin60=0 ∑MB
=800+150*3-RA*12*Sin60-RACos60 *3=0 RA=105.12Ib Bx=22.44Ib By=-451.027Ib 5-3
3.
∑Fx Ax=0.6T ∑Fy Ay-80*9.8+T+0.8T=0 ∑MA=2T+2.4T=4312 T=980N Ay=-980N Ax=588N 5-5
4.
Cx-TCos30=0 Cy-7000+TSin30=0 6000+4000*4-2TCos30-4TSin30=0 T=5894.88N Cx=5105.18N Cy=4052.56N 5-6
5.
Ax-12/13T=0 Ay-650-1250-5/13T=0 15*15 3T/3+650*7.5 3
+15 3T-5/3-60T=0 T=197.84N Ax=182.622N Ay=1976.09N 5-7 Fx= RB+Ax=0 Fy= Ay=20Ib MA RB-140=0 RB=140Ib
6.
Ax=-140Ib 5-8 Fx RACos45-T-1250=0 Fy=0 RB+1250+T-1250 3=0 MA= 2500sin60*4+4000-3T-10RB=0 T=269.97N RB=-1185.03N RA=2149.56N 5-9
7.
FX Rcsin30+RB-RA-10cos30=0 Fy= RcCos30-10sin30=0 Mc 10sin30*3-10cos30*13-5RA-3tan30*RB=0 RA=-12.91N RB=-74.53N RC=5.773N 5-10
8.
Fx Cx+3RA/ 13=0 Fy= Cy-2RA/ 13=500 Mc= -500*4+18RA/
13=0 RA=400.66Ib RB=400.66Ib Cx=-333.33Ib Cy=722.246Ib 5-19
9.
5-20 5-21
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