Question

Physics 153 Lab Exercise Vector Analysis Lab Exercise For the following problems find the Resultant analytically, and graphically 1. Fi =50N @ 38', F2 =220N @ 65', and F3 = 390N @ 215. 4. Fi 225N 340' F 150N @ 160 215N210 F 100N 50', and Fs 400N @ 270

Answer 1

F₁ = 50 N at 38^o = ( 50 cos38 + 50 sin38 ) N = ( 39.40 + 30.78 ) N

F₂ = 220 N at 65^o = ( 220 cos65 + 220 sin65 ) N = ( 92.98 + 199.39 ) N

F₃ = 390 N at 215^o = ( 390 cos215 + 390 sin215 ) N = ( -319.47 -223.69 ) N

resultant F₁ + F₂ + F₃ = ( -187.09 + 6.48 ) N

magnitude of resultant = 187.203 N

direction = tan^-1 [ 6.48 / ( -187.09 ) ] = 178^o

Resultant is 187.203 N at 178^o

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