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For the bracket shown below, F 1 = 123 l b , F 2 = 41 l b , and M = 420 l b ? f

ID: 1862917 • Letter: F

Question

For the bracket shown below, F1=123 lb, F2=41 lb, and M=420 lb?ft


Replace this force and couple system with an equivalent force by specifying the magnitude of the force, the direction in which the force acts, and where the force's line of action intersects member CB as measured from B.

For the bracket shown below, F1=123 lb, F2=41 lb, and M=420 lb?ft Replace this force and couple system with an equivalent force by specifying the magnitude of the force, the direction in which the force acts, and where the force's line of action intersects member CB as measured from B.

Explanation / Answer

balancing force in horizontal direction

F1cos37 + F2cos60

= 118.73 N


in vertical direction

F1sin37 + F2sin60

= 109.53 N


Fnet = 161.54 N

direction = tan^-1(109.53/118.73

Fnet = 161.54, 43 degree from horizontal in anticlockwise direction