Question

Question 2: E (0,45,36) E (a,b,c) DB D (120,0,36) Daba) k=5 kN/m cabo C (150,90,0) Collar A and collar B rest on the smooth fixed bars by the spring AB and the force F applied to collar B. The force F is parallel to the bar DE. The coordinate axes (a-b-c), masses of the collars and the dimensions (AC and DB) will be taken from the table. Note that the coordinates of the points vary according to the axes. a. Determine the spring force and unstretched length of the spring. b. Determine the magnitude of the force F required to maintain equilibrium of the system.

the values ​​in the table are based on the last number of my school number, that is, the question should be solved according to the values ​​in the table.

Answer 1

a) E(0,45,36) D (120,0,36) A c (150,90,0) Unit vectors (150-120) at 90 o - 36 30² + 90 ²+ 36² 30 at 9o 3-36 = 101.469 - 120 âtas i to ? DE = 120 ²+ 452 - 120 at 45 128.16. A = (150,90,0) - 28 101.469 (30, 80, -36) = 6) = (14172,514,728) (-120,45,0)=(0,1-24,36) 8 = 1120,4,3)+22 128.16

à = -51.684 â -53.928 Ŝ + 26.066 ê 79.113 ABI Let the spring force be Fus spring Espring AB. CD = =-maga. ô. ó 0.9147 Espring 35 X 9.81 X 36 11 101.469 → Espring 133.176 N. Espring = ks S = Espring k 26.6 mm. Let unstretched length be l. So, ets= 79.113 mm 1= 52.51 mm. b). F = Espring BA. ED 133.76 N X 0.3723 F = 49.588 N