Lecture 3

Lecture 3 - LECTURE 3 STATICS OF PARTICLES Contents...

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1 LECTURE 3 STATICS OF PARTICLES Contents: Introduction Statics of particles Free-body diagrams Equilibrium of a particle Examples Introduction A body in equilibrium provides a snapshot of the status of the body in space and time. The Statics studies the necessary and sufficient conditions of a rigid body of being stationary. The forces on the equilibrium body should have invariant characteristics. That is the magnitude, direction and point of application will not be changed with space and time. Statics of particles Statics is the branch of rigid-body mechanics concerned with bodies that are acted on by a balanced system of forces, (the resultant of all forces acting on the body is zero), and are at rest or moving with a constant velocity in a straight line.

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2 A body with negligible dimensions is referred to as a particle whose size and shape don’t have effect on the response of the body to a system of forces. At this circumstance , the mass of the body can be assumed to be concentrated at a point . For this reason, a particle can be subjected only to a system on concurrent forces . The necessary condition for equilibrium of a particle at rest or moving with a constant velocity along a strength line is 0 = = RF (1) or m == = a a 0 (2) Free-body diagrams Problems in engineering mechanics are concerned with the external effects produced when a system of forces acts on a physical body.
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Lecture 3 - LECTURE 3 STATICS OF PARTICLES Contents...

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