University:
Angelo State University
Course:
ENGR 2301 | Engineering Mechanics - Statics
Academic year:

2024
Views:

107

Pages:

4
Author:

Autumn Cox

Problem 2.134 B A 9 ft 8.5 ft 5 ft 12 ft C 396 lb 7.5 ft Two cables are tied together at C and loaded as shown. determine the tension (a) in cable AC, (b) in cable BC. Problem 2.134 B A Solving Problems on Your Own 9 ft 8.5 ft 5 ft 12 ft C 396 lb 7.5 ft Two cables are tied together at C and loaded as shown. determine the tension (a) in cable AC, (b) in cable BC. 1. Draw a free-body diagram of the particle. This diagram shows the particle and all the forces acting on it. 2. Set the resultant, or sum, of the forces exerted on the particle equal to zero. You will obtain a vectorial equation consisting of terms containing the unit vectors i, j, and k. Three scalar equations result, which can be solved for the unknowns. Problem 2.134 Solution FREE BODY C: y Draw a free-body diagram of the particle. TBC TAC 3.5 12.5 8.5 12 7.5 4 x Set the resultant, or sum, of the forces exerted on the particle equal to zero. 396 lb ? Fx = 0 : 7.5 T = 0 12 T + 8.5 BC 12.5 AC TBC = 1.088 TAC ? Fy = 0 : 3.5 4 T 12.5 AC + 8.5 TBC 396 lb = 0 y Problem 2.134 Solution TBC TAC 3.5 12.5 8.5 12 7.5 4 x 396 lb (a) Substitute for TBC: 3.5 4 _ TAC + (1.088 T ) 396 lb = 0 AC 12.5 8.5 (b) (0.280 + 0.512) TAC _ 396 lb = 0 TAC = 500 lb TBC = 1.088 (500 lb) TBC = 544 lb