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  1. 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).

  2. Example 1. Determine the magnitude of the resultant force on the lever shown and its direction measured counterclockwise from the positive x axis. [Answer: R = 0.346 N , β = 275.3 ̊] Example 2 p. A barge is pulled by two tugboats.

  3. 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.

  4. 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.

  5. Force acting on a body is related to the mass of the body and the variation of its velocity with time. Force can also occur between bodies that are physically separated (Ex: gravitational, electrical, and magnetic forces)

  6. A force system is a collection of forces and couples applied to a body. Two force systems are said to be equipollent (or equivalent) if they have the same resultant force AND the same resultant moment with respect to any point P. Reducing a force system to a single resultant force 𝑭𝑅 and a single resultant couple moment 𝑴𝑅𝑜:

  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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