Question

i will give a rate

position shown by the cable AB and the spring BC. " Problem 3: The 100-kg crate is held in equilibrium in the position shown by the car a. (5 points) Sketch the FBD of B b. (16 points) Find the tensile forces in the cable and the spring. C. (4 points) If the spring constant k of spring BC is 1,000 N/m, find the spring. BC is 1,000 N/m, find the unstretched length of the 100 kg

Answer 1

Criven Data > Lookg Crate is held equillibrium in figure as shown look T ! 2 m stretched lenght = l=am no t soin 4. Sketch FBD OF B - let tension in string is t o and Force (Restoring) in spring is k(e-lo) = kx let l-lo= x so F=kX where e = streamed lenght - lo- unstreched lenght СВp oe B — inte vw 1609 → burung puwe → 160 xg.8 c

Tensile forces in spring and cable tana = 9 . Qztant (4) = 53.13° 126.87 > Kc 980N Apply lami's theorem T! 126.87 980 sin 126.87 - > K Sin143.13 = F 143. 13 y 90 980 I= go 980 Sin 126.87 . 1225. N T= 1x 980 sin 126.87 Tensile force in Cable = ! 1. => F = sin143.13 x 980 sin 126.87 sin 143.13 sin 126.87 F - 735 Tensice Force in spring = 7351 com_ 735 N G Force in spring = kx =kll-lo) 735 = 1000 (2- lo). 1735 = 2-lo ame 735 - 1,265 m unstretched lenght so lo = 1, 265 m .