Lecture 4 - Moments

# 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.
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).
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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• Spring '14
• Force, Rigid Body, Rotation, Euclidean vector, 0.5m

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