UNIT-4: Force System Resultants

Content

• Moment• Cross product• Moment of a force about a specified axis• Moment of a couple• Simplification of a force and couple system• Reduction of a simple distributed loading

Moment of a Force- Scalar Formulation

Exercise-1

Cross Product

Moment of a Force-Vector Formulation

Exercise-2 Determine the moment produced by the force F in about point O . Express the result as a Cartesian vector.

Exercise-3

Two forces act on the rod shown in Fig.ure. Determine the resultant moment they create about the flange at O . Express the result as a Cartesian vector

Principle of Moments-Varignon`s Theorem

Moment of a Force About a Specified Axis

Exercise 4

Determine the resultant moment of the three forces in Figure aboutthe x axis, the y axis, and the z axis.

Exercise-5