1. Int: 4 th Session: 4-3- 1 ENGINEERS MECHANICS ENGINEERS MECHANICS STATICS STATICS CHAPTER4CHAPTER4 Lecture Notes: Professor A. Salam Al-Ammri Suhad Ibraheem Mohammed Al-Khwarizmi College of Engineering University of Baghdad asalaam.kecbu@uobaghdad.edu.iq Equilibrium of Particles in Three Dimensions 2/3/2012 Professor Dr. A.Salam Al-Ammri & Suhad Ibraheem Mohammad

2. Int: 4 th Session: 4-3- 2 Contents Introduction Free-Body Diagram Equilibrium of a Particle in Three DimensionsSample Problem 4.3.1Sample Problem 4.3.2Sample Problem 4.3.3 2/3/2012Professor Dr. A.Salam Al-Ammri & Suhad Ibraheem Mohammad

3. Int: 4 th Session: 4-3- 3 Equilibrium of a Particle in Space The necessary and sufficient condition for the static equilibrium of a body are that the resultant force from all external forces form a system equivalent to zero, Resolving each force into its rectangular components leads to 3 scalar equations which also express the conditions for static equilibrium, For a particle in static equilibrium, the external forces are balanced and will impart no translational to the particle. The components of the forces in equilibrium 2/3/2012Professor Dr. A.Salam Al-Ammri & Suhad Ibraheem Mohammad

4. Int: 4 th Session: 4-3- 4 Sample Problem 4.3.1 A 200 kg cylinder is hung by means of two cable AB and AC, which are attached at the top of a vertical wall holds the cylinder in the position shown. Determine the magnitude of P and the tension in each of the cables. The vector AB is 2/3/2012Professor Dr. A.Salam Al-Ammri & Suhad Ibraheem Mohammad

5. Int: 4 th Session: 4-3- 5 Sample Problem 4.3.1 The vector AC is The unit vector in the AB direction is 2/3/2012Professor Dr. A.Salam Al-Ammri & Suhad Ibraheem Mohammad

6. Int: 4 th Session: 4-3- 6 Sample Problem 4.3.1 2/3/2012Professor Dr. A.Salam Al-Ammri & Suhad Ibraheem Mohammad

7. Int: 4 th Session: 4-3- 7 Sample Problem 4.3.2 The tension force in AC is 28 kN, determine the required values of tension in AB and AD so that the resultant force of the three forces applied at A is vertical. Determine the resultant force. T AB T AD T AC RARA 2/3/2012Professor Dr. A.Salam Al-Ammri & Suhad Ibraheem Mohammad

8. Int: 4 th Session: 4-3- 8 Sample Problem 4.3.2 The vector AD is The vector AC is 2/3/2012Professor Dr. A.Salam Al-Ammri & Suhad Ibraheem Mohammad

9. Int: 4 th Session: 4-3- 9 Sample Problem 4.3.2 2/3/2012Professor Dr. A.Salam Al-Ammri & Suhad Ibraheem Mohammad

10. Int: 4 th Session: 4-3- 10 Sample Problem 4.3.2 2/3/2012Professor Dr. A.Salam Al-Ammri & Suhad Ibraheem Mohammad

11. Int: 4 th Session: 4-3- 11 2/3/2012Professor Dr. A.Salam Al-Ammri & Suhad Ibraheem Mohammad Sample Problem 4.3.3