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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
parallelogram law of addition (and the triangle law). Equivalent Vector: V= V1+ V2(Vector Sum) Ex: displacement, velocity, acceleration, force, moment, momentum
• Apply parallelogram law to obtain resultant force by adding the resultant of the x and y components.
Resolve the 120-lb force into components acting in the u and v directions. 120 lb v 25° u 40° 1 Construct a parallelogram with the 120-lb force as a diagonal. v 40° 120 lb Rv 2 Draw a line from the tip of the force vector parallel to v. 25° u 3 Draw another line from the tip but parallel to u.
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.
3 Νοε 2011 · The parallelogram rule for vector addition turns out to be a crucial property for vectors. Note that it follows from the nature of the physical quantities, e.g., velocity and force, that we represent by vectors. The rule for vector addition is also one way to distinguish vectors from other quantities that have both length and direction.
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.
