Lecture 4 - Moments - RIGID BODIES MOMENTS OF FORCES AND...

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RIGID BODIES: MOMENTS OF FORCES AND COUPLES ES 11 – Statics of Rigid Bodies Lecture 4
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RIGID BODY Ø Treatment of a body as a single particle is not always possible. Ø In general, the size of the body and the specific points of application of the forces must be considered. Ø Forces will act on different particles and thus will have different points of application (LOA). Ø Most bodies in elementary mechanics are assumed to be rigid, i.e., the actual deformations are small and do not affect the conditions of equilibrium or motion of the body.
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RIGID BODY Ø a body which does not deform under the action of forces. Ø an idealization of a solid body of finite size in which deformation is neglected Ø the distance between any two given points of a rigid body remains constant regardless of external forces exerted on it.
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PRINCIPLE OF TRANSMISSIBILITY: EQUIVALENT FORCES Principle of Transmissibility – states that the conditions of equilibrium or motion of a rigid body will remain unchanged if a force acting at a given point of the rigid body is replaced by a force of the same magnitude and direction, but acting at a different point, provided that the two forces have the same line of action (LOA).
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MOMENT OF A FORCE Moment of a force is the measure of the tendency of a force F to make the rigid
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