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ENGR 34 Chapter 3, Day 3 3D Point Equilibrium

Learn how to solve 3D point equilibrium problems using scalar equations and force vectors efficiently. Check for equation vs. unknowns, utilize position vectors for force vectors, avoid angles by using a calculator. Helpful hints for Ch.3 Problem 66 & 49 included.

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ENGR 34 Chapter 3, Day 3 3D Point Equilibrium

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  1. ENGR 34 Chapter 3, Day 33D Point Equilibrium • 3D point equilibrium • Hints for Ch 3 Problem 66 & 49

  2. 3D Point Equilibrium • 3 Scalar equations from SF = 0 • Check # Equation = # Unknowns • Use position vectors to get force vectors • Use calculator and avoid angles

  3. Hint for Ch 3 Problem 66 The 80 lb bucket is being hoisted using three springs, each with an unstretched length of 1.5 ft and stiffness of 50 lb/ft. Determine d.

  4. Hint for Ch 3 Problem 49 Determine the maximum weight of the crate so that the tension developed in any cable does not exceed 450 lbs.

  5. Hint for Ch 3 Problem 49 • Guess 1st cable = 450 lb, solve 3x3, repeat • Use Load = 1 lb, solve 3x3 and scale up (linear) • Use unknown W in the b vector for 3x4 RREF

  6. Key Topics • 3 Scalar equations from SF = 0 • Check # Equations = # Unknowns • Use position vectors to get force vectors • Use calculator and avoid angles

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