Question

A rectangular sign over a store has a weight of 375 lb, with the center of gravity in the center of the rectangle. The support against the wall at point C may be treated as a ball-and-socket joint. At corner D support is provided in the y-direction only. Calculate the tensions T₁ and T₂ in the supporting wires, the total force supported at C, and the lateral force R supported at D. The force R is positive if it points in the +y-direction, and negative if it points in the -y-direction.

4.5' | 4.5 в Т, Т, 7.5 7.5' |С 3.0° х ТOS 3.0 12.0

Answer 1

Given, 1 3.0 C 3-0 12.0 StE (12.0) +(45)3) AE 4.8 12BF 2 cs Scahned with CamScanier

T 12 1- 2 7.5i 4.Sj + 7 Cy EM AR 2 O C(10.5)-(9356) 214.2 lb Cz ZMYO, Tr 7-45) 2 x (451) 24 T IS T T(35) (12) 214. 2-0 TI esScanned with & CamScanner <ff

24 T 428.4 b get We Solving on 428.4 T 2. 48 T 422.4 48 T, 32.09 2. 428.4 T2 2 30 N52 428.4 T2 30 64.5 b 2 ZFy 422.4 u28.4 30 49 2 O Rz-40.16 + 64.26 24. b cS Scanned with CamScanner

4 u29 u28.4 375 201. b Cz 2- C201 C. 293.33 L6 CS ScaRned with CamScanner