Two couples act on the beam as shown. Determine the magnitude of F so that the resultant

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Two couples act on the beam as shown. Determine the magnitude of F so that the resultant couple moment is M counterclockwise. Where on the beam does the resultant couple act?

Given:
M = 300 lb⋅ ft
a = 4 ft
b = 1.5 ft
P = 200 lb
c = 3
d = 4


-F - P

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