PS 3-F20 - Homework or sol PDF

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Homework or sol...

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Problem Set Week 3 Ch. 2.7-9 Draw complete diagrams for all problems and show all work.

1. a) Express the position vector, rAB, in Cartesian vector form. b) Calculate the magnitude of rAB. c) Determine the coordinate direction angles for rAB.

2. The window is held open by

chain AB. Determine the length of the chain and express the force acting at A along the cable as a Cartesian vector. Given: F = 30 N a = 300 mm b = 500 mm c = 150 mm d = 250 mm θ = 30o

3. Determine the magnitude of the projected component of the force F = {400𝒊 - 200𝒋 + 500𝒌} N acting along the cable AC.

4. Find the magnitude of the projected component of the force, F = 400N, along the pipe AO.

5. a) Determine the magnitude of the projected component of F along line AC. b) Determine the angle between the pipe segments BA and BC.

6. The force F = (25i - 50j + 10k) lb acts at the end A of the pipe assembly. Determine the magnitude of the components F1 and F2 which act along the axis of AB and perpendicular to it.

Answers: 1. a) rAB = (-6i + 6j + 3k) m b) rAB = 9 m c) α = 132o, β = 48.2o, γ = 70.5o 2. rAB = 591.6 mm F = (-13.2i – 17.8j + 20.3k) N 3. FCA = 162.4N 4. FAO = 244 N 5. a) FAC= -25.9 lb, b) Θ = 131.8o 6. F1 = 19.38 lb, F2 = 53.4 lb...