Question

Darian wishes to hang his 57 lb plaque (size 40” x 40”) from the ceiling of his living room from 3 vertical wires at points M, N, and L. The wires are 100% in the y-direction. Cables M and N are located 15 inches from the Z and X-axis respectively. Solve for the tensions in cables M, N, and L.

Hx Ν Σ 2

Answer 1

APL APN PM 1 576 →X 201 I For, the plate to be stable Three static equillibrium conditions can be used to solve the tension in three wire) My = 0 => PM (40)+ PN (15) - 57 (20) 8 Py +3 PN = 57x+ 0 00 رند EM2= 0 -> PM (15) + Pnv (+0)-57(20) 3 PM+ 8 PN 57x4 >01) on solving 3PM + 8 PN ( تا 6 رأي 8 Pra + 3PN

6% DO on in û PAM PN subatituting 8PM + 3 PM 8 PM - 5X+ n 54x4 = 20.929 1b - O I Fy = 57. PM + PNT PL PM & PM + PL = 57 2 x 20.723 + PL = 57 co PL - 15.545 16 Tensinon in member L→ 15.545 16 M Png = Port 20.12716 20.+27 1b 20.723 lb M ↑