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  1. Resultant of a number of forces The result- ant of a number of forces acting on a body is a single equipollent force; that is, if it acted alone on the body

  2. Rectangular Components of Coplanar Force Method • Sum up the components of each force along specified axes algebraically, and then form a resultant. The axes may in general • Resolved each force into its rectangular components F x and F y which lie along the xand y axes. F F y be directed in any inclination. y

  3. The force arising when an object rests against another object acting at a 90° angle to the plane of contact. It is sometimes also referred to as the reaction force. This is normally labelled as N or R on free body diagrams. This force arises from Newton's Third Law.

  4. Example 1: Calculate the resultant and its line of action for the the two forces F 1 = 2i+jN applied at point (1,0) and F 2 = − 3i+3jN applied at point (0,0).

  5. Figure 1 below shows the concept in a two dimensional situation. If the two forces 2N and 4N acts on the square block on one point and are parallel to each other then, the equivalent amount of force, which is called resultant force acting on the block at the same point, is 6N.

  6. How can you mathematically model the effect of force FH at point O? Moment of a force – scalar formulation. The moment of a force about a point provides a measure of the tendency for rotation. (sometimes called a torque). Magnitude: In a 2-D case, the magnitude of the moment is Mo = F d.

  7. When a series of forces and couple moments are acting on a body, it is convenient to reduce them to a simpler form with an equivalent system, which consists of a single resultant force and a single resultant moment. Example, find an equivalent system of forces acting on B.

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