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parallelogram law of addition (and the triangle law). Equivalent Vector: V= V1+ V2(Vector Sum) Ex: displacement, velocity, acceleration, force, moment, momentum
law of vector addition. The vectors . A . and . B . can be drawn with their tails at the same point. The two vectors form the sides of a parallelogram. The diagonal of the parallelogram corresponds to the vector . C = A + B, as shown in Figure 3.2b. C = A + B B A (a) head to tail . A B C = A B (b) parallelogram . Figure 3.2a Figure 3.2b
Forces are drawn as directed arrows. The length of the arrow represents the magnitude of the force and the arrow shows its direction. Forces on rigid bodies further have a line of action. Forces (and in general all vectors) follow the parallelogram law of vector addition.
• Apply parallelogram law to obtain resultant force by adding the resultant of the x and y components.
Unlike scalar quantities, vectors are added up, according to the parallelogram law (Figure 1a). A point of application is also important in defining a force vector.
Construct a parallelogram with sides in the same direction as P and Q and lengths in proportion. Graphically evaluate the resultant which is equivalent in direction and proportional in magnitude to the diagonal. Trigonometric solution. Use the law of cosines and law of sines to find the resultant.
First, he ascertains the parallelogram rule for two equal orthogonal forces (propositio 2), then he calculates the magnitude of the resultant for two unequal orthogonal forces (propositio 3) and he observes that, if we knew
