Resultant of Non-concurrent Force System

UNIT - II

Resultant of Non-concurrent Force System

Syllabus Principle of Transmissibility, Equivalent Forces, Vector Product of Two Vectors, Moment of a Force about a Point, Varignon's Theorem, Rectangular Components of the Moment of a Force, Scalar Product of Two Vectors, Mixed Triple Product of Three Vectors, Moment of a Force about an Axis, Couple - Moment of a Couple, Equivalent Couples, Addition of Couples, Resolution of a Given Force into a Force -Couple system, Further Reduction of a System of Forces.

Introduction

• A force system in which lines of action of all forces do not intersect at a single point is called non-concurrent force system.

• Such force systems acting on objects can give rise to translational motion, rotational motion or a combination of both.

• The non-concurrent force system can be classified into like parallel, unlike parallel and non-parallel force systems.

• The reduction of such force systems to a single resultant force or a single resultant moment or a combination of a force and a moment (force couple system) is discussed in this chapter.