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| 10 lb y F L ВІ M 45 lb M = 144 lb.in F = 25 lb a = 52 deg L = 14 in d = 6.7 in Replace the shown forces and couples by an e

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Answer #1

Equivalent force at C

clockwise negative x axis means force in - x direction is positive and in + Y direction is positive

now forces in x direction 45 lb , -Fcosa = -25cos52 = -15.3915 lb

Net forces in x direction = 45-15.3915 = 29.608 lb

forces in y direction -10 + 25sin52 = 9.700 lb

so resultant force = sqrt(9.7002 + 29.6082 )= 31.1565 lb Ans

angle with -x axis = taninv(9.700/29.608) = 18.139 degrees Ans

Resultant Couple (assume anticlockwise positive) = 144+10*L- Fsin(52)*0-Fcos52*d= 180.8767 lb in Ans

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