ObjectiveThe objective of this lab is adding vectors using both the tail-to-head method and the componentmethod and to verify the results using a simulator.TheoryA scalar quantity is a number that has only a magnitude. When scalar quantities are addedtogether the result is a sum.Vectors are quantities that have both magnitude and direction; specific methods of addition arerequired. When vector qua
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Objective
The objective of this lab is adding vectors using both the tail-to-head method and the component
method and to verify the results using a simulator.
Theory
A scalar quantity is a number that has only a magnitude. When scalar quantities are added
together the result is a sum.
Vectors are quantities that have both magnitude and direction; specific methods of addition are
required. When vector quantities are added, the result is a resultant.
For example, if you walk 100 m north, then 100m east, you will walk a total distance of 200 m
(distance is a scalar quantity). However the displacement Δr is a vector, involves both
distance and direction. So, the same 200 m walk results, in a displacement of approximating
141 m northeast of where you began (141 m, northeast of your starting position).
A negative vector has the same length as the corresponding positive vector, but with the
opposite direction. Making a vector negative can be accomplished either by changing the sign of
the magnitude or by simply adjusting the direction by 180°.
Suppose you have a vector with magnitude 5 m in the direction of 100° (related to the positive
X-axis). You can describe it specifying the magnitude and direction such as °
.
Also, you can identify the opposite vector to ⃗ V , which will be - ° or -
°
Experiment: Vector Addition.
Tail-to-Head Method. Geometric method. Part A.
Vectors can be added together graphically by drawing them end-to-end. A vector can be moved
to any location; so long as its magnitude and orientation are not changed, it remains the same
vector. When adding vectors, the order in which the vectors are added does not change the
resultant.
Draw each vector on a coordinate system; begin each from the origin.
Choose any vector drawn to be the first vector.
Choose a second vector and redraw it, beginning from the end of the first.
Repeat, adding as many vectors as are desired to the end of the “train” of vectors.
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