The bent rod is supported at A, B, and Cby smooth journal bearings. Determine th

Question

The bent rod is supported at A, B, and Cby smooth journal bearings. Determine the magnitude ofF2 which will cause the reactionCy at the bearing C to beequal to zero. The bearings are in proper alignment and exertonly force reactions on the rod. Set F1 = 550 lb. Can someone solve this for me with my numbers with a speciific answer, ive been working on this problem all night and I cant get it, and I have 1 try left. Please help!

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Explanation / Answer

F1 = -550Cos45 j - 550Sin45 k = -388.9 j - 388.9 k

F2 = F2*Cos45Sin30 i + F2*Cos45Cos30 j - F2*Sin45 k

F2 = 0.3536*F2 i + 0.6124*F2 j - 0.7071*F2 k

Sigma Fx = 0 yields, Ax + Bx + 0.3536F2 = 0

Sigma Fy = 0 yields, Ay + 0.6124*F2 - 388.9 = 0

Sigma Fz = 0 yields, Bz + Cz - 0.7071*F2 - 388.9 = 0

Sigma Mx = 0 yields, -Bz*3 - Ay*4 + 388.9*5 + 388.9*5 = 0

Sigma My = 0 yields, Cz*5 + Ax*4 = 0

Sigma Mz = 0 yields, Ax*5 + Bx*3 = 0

Solving these 6 eqns, we get F2 = 1235.126 lb

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