vectors are a force applied on a rigid body and the ow velocity of a uid in a pipe with a uniform section. The eect of a force on a deformable body depends, in addition to its line of action, on the point to which the force is applied. Vectors associated to an application point will be called bound vectors. To characterize a bound vector oneA better application of the term in this discipline is the moment of force, or the tendency of a force to cause a body or mass to rotate around a defined point or axis. A moment develops whenever a force vector does not pass through the centroid of a mass, which in practical consideration is the typical case for structural applications. application of vectors in moment of force
where is the position vector measured from the moment center to any point along the line of action of the force vector. The directional sense of the moment is found by first aligning the position and the force vectors tail to tail, then curling the four fingers of the right hand from to with the thumb pointing in the direction of the moment vector.
Vector Products of Two Vectors Moment of a Force About a Point Varigons Theorem Rectangular Components of the Moment of a Force Sample Problem 3. 1 Scalar Product of Two Vectors Scalar Product of Two Vectors: Applications Mixed Triple Product of Three Vectors Moment of a Force About a Given Axis Sample Problem 3. 5 Moment of a Couple Addition of Couples Couples Can Be Represented By Vectors r is the position vector from the reference point (O) to the point of application of the force (A). In other words, r is the vector joining a point of the axis of rotation, and the point where the force is applied.application of vectors in moment of force Eighth Vector Mechanics for Engineers: Statics Edition 3 6 Vector Product of Two Vectors Concept of the moment of a force about a point is more easily understood
Mar 02, 2016 Description: This course is offered as an online course at Big Bend Community College. For more information on how to enroll for credit go to www. bigbend. edu application of vectors in moment of force Classification of forces: External forces, constraint forces and internal forces. When analyzing forces in a structure or machine, it is conventional to classify forces as external forces; constraint forces or internal forces.