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In statics a particle and a rigid body are viewed as pretty much the same thing, and can be analysed with the same methods. Assuming that a particle is in equilibrium i.e. the sum of the forces and the moments are all zero, and that a rigid body is made up of particles, we know that if each particle of this body is in equilibrium (internal forces cancel each other out) then we can conclude that the body must therefore also be in equilibrium. The difference between these a particle and a body is we will usually find a particle in space without these so-called constraints, while a rigid body- a beam comes immediately to mind, is usually constrained in some or other manner, by either a pin or roller or any other way.

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Q: Similarity between static equillibrium of a particle and rigid body?
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