PE2113-Chapter 3 - Equilibrium of a Particle_0906

# PE2113-Chapter 3 - Equilibrium of a Particle_0906 - Chapter...

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1 Chapter 3 – Equilibrium of a Particle

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2 Objectives To introduce the concept of the free-body diagram for a particle To show how to solve particle equilibrium problems using the equation of equilibrium
3 Condition for the Equilibrium of a Particle Recall: Particle – has a mass, but a size that can be neglected. The geometry of a particle (body) will not be involved in the analysis of the problem When a particle is at rest or moves with constant velocity, it is in equilibrium. This requires that all the forces acting on the particle form a zero force resultant. This condition may be expressed mathematically as Σ F = 0; where Σ F is the vector sum of all the forces acting on the particle.

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4 Condition for the Equilibrium of a Particle Not only is the equation Σ F = 0 a necessary condition for equilibrium, it is also a sufficient condition. This follows from Newton’s 2 nd Law of motion which says that Σ F = m a . Thus, it follows that a = 0, which implies that the particle indeed moves with constant velocity or remains at rest.
5 Free-Body Diagram In order to account for all the forces acting on a particle, it is necessary to draw a

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PE2113-Chapter 3 - Equilibrium of a Particle_0906 - Chapter...

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