Question

A block with a weight of 99.8 lbf is suspended from cord AC and two springs AB and AD. Determine the force in cord AC and the spring stiffness of spring AB if the system is in equilibrium in the configuration shown in the diagram below. Both springs have an unstretched length of 22.5 in., and the spring stiffness of spring AD is KAD = 3 lbf/in. As part of your answer, draw a free-body diagram of the system. Enter your answer for the force in cord AC with units in the box below on Blackboard, and box both of your answers on your paper. 29 in. 23 in. C 8 in. B D 16.5 in. 16 in. А W 7 in.

Answer 1

р w A A length of AB= ✓ 16.52 ✓ 75600 16.5?+ (29 -70% 2) 27.5 inch expansion of AB=) 27.3-2205 z 5 inch length of of AD + AD = 34 inch expansion of AD 34-225 s 11.5 ی را C 8403 B O, 0.022) Tañol 그 M A 3in or= 29-7 s 27.5 01 = 53.130 O2 = 16.26 Oww 34- 03 =) 61.927

AB. I 16-23225 til NO Ас Efy zo FAB tos 0 + 60503 + F Gos Ox = -99.8104 Ko Ao los O, tko POCOS D3 + FAC Cos Ore 99.81184 K(5) 6006) + 3(11.5):475 + F C05 (16-26) ) AB Z 99.8167 BART S n 3 KAB + Esclo-96) = 83,5678 and Efx=0 FAB sin oi 4 KAB= 2) UKAB FA Sin (8) + FAD sin (03) FAC (0.28) + 3(11.5) sin(61.927) FA(0:28) = 30044 42 some there @ s KAB= 11-243 Ibline FAC = 51.912 N