Replace the force system acting on the post by a resultant force. 05 m SOO N 0.2

Question

Replace the force system acting on the post by a resultant force. 05 m SOO N 0.2m Part A Determine the direction of the resultant force. Express your answer with the appropriate units Value Units clockwise from the direction to the left Submit Request Answer Part B Determine the magnitude of the resultant force. Express your answer with the appropriate units. FRValue Units Submit PartC Specify where its line of action intersects the post AB measured from point B Express your answer with the appropriate units

Explanation / Answer

Fnet = ((250 x 4/5) - 300 - (500 cos30))i + ((-250 x 3 /5) + (500 sin30)) j

Fnet = - 533 i + 100 j

(A) theta = tan^-1(100 / 533) = 10.6 deg

(B) magnitude = sqrt(533^2 + 100^2)

= 542 N  

(C) moment = (-2 x 300) + (- 0.5 x 250 x 3 /5) + (-1 x 500 x cos30) + (-0.2 x 500 sin30)

= - 1158 N m

moment = r x 542 x cos10.6

1158 = 542 cos10.6 r

r = 2.2 m

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