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Chapter 3: Equilibrium of a Particle

Chapter 3: Equilibrium of a Particle. Example 3.1. The sphere has a mass of 6kg and is supported. Draw a free-body diagram of the sphere, the cord CE and the knot at C. Example 3.1. F CE. Cord CE. F EC. F CE. W = 58.9N. F CBA. F CD. F CE. Example 3.4.

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Chapter 3: Equilibrium of a Particle

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  1. Chapter 3: Equilibrium of a Particle

  2. Example 3.1 The sphere has a mass of 6kg and is supported. Draw a free-body diagram of the sphere, the cord CE and the knot at C.

  3. Example 3.1 FCE Cord CE FEC FCE W = 58.9N FCBA FCD FCE

  4. Example 3.4 Determine the required length of the cord AC so that the 8kg lamp is suspended. The undeformed length of the spring AB is l’AB = 0.4m, and the spring has a stiffness of kAB = 300N/m.

  5. Example 3.4 TAC = 157N 30° FAB = 136N W = 78.5N +→ ∑Fx= 0; TAB – TACcos30° = 0 +↑ ∑Fy= 0; TABsin30° – 78.5N = 0 TAC = 157.0kN TAB = 136.0kN

  6. Example 3.8 The 100kg crate is supported by three cords, one of which is connected to a spring. Determine the tension in cords AC and AD and stretch of the spring.

  7. Example 3.8 z y x FD FC A 0.333FD FB FC cos120° W = 981N FB ∑Fx = 0; FB+ FCcos120°- 0.333FD = 0

  8. Example 3.8 z y x FD FC A FB FC cos135° 0.667FD W = 981N ∑Fy= 0; FCcos135°+ 0.667FD = 0

  9. Example 3.8 z y x FD FC A 0.667FD FC cos60° FB W = 981N 981 ∑Fz= 0; FCcos60° + 0.667FD- 981 = 0

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