PS 4 - Homework or sol PDF

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Homework or sol...

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Problem Set 4 Ch. 3 – Equilibrium of a Particle All problem solutions must include a FBD 1. The crate is attached to a rope at A that travels across the pulley at B and attaches to the ground at C. The pulley is suspended by a second rope attached to the wall at D. The cords ABC and BD can each support a maximum load of 100 lb. Determine the maximum weight of the crate, and the angle θ for equilibrium

2. The springs BA and BC each have a stiffness of 500 N/m and an unstretched length of 3 m. a. Determine the horizontal force F applied to the cord which is attached to the small ring B so that the displacement of the ring from the wall is d = 1.5 m b. Determine the displacement of the cord from the wall when a force F = 175 N is applied to the cord.

3. The 30-kg pipe is supported at A by a system of five cords. Determine the force in each cord for equilibrium.

4. If the bucket and its contents have a total weight of 20 lb, determine the force in the supporting cables DA, DB, and DC.

5. Determine the stretch in each of the two springs required to hold the 20-kg crate in the equilibrium position shown. Each spring has an unstretched length of 2 m and a stiffness of k = 360 N/m.

6. The 800-lb cylinder is supported by three chains as shown. Determine the force in each chain for equilibrium. d = 1 ft.

Answers: 1. θ = 78.7o, W = 51.0 lbs 2. a) F = 158 N; b) d = 1.56 m 3. TBA = 339.8 N; TAE = 169.9 N; TBD = 490.5 N; TBC = 562.3 N 4. TDA = 10.0 lb ; TDB = 1.12 lb ; TDC = 15.6 lb 5. stretch in A = 182 mm; stretch in B = 273 mm 6. TAB = 469 lb; TAC = TAD = 331 lb...