Gravitational%20Acceleration[1]

# Gravitational%20Acceleration[1] - Rx Ry X Y Zabrina...

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R x R y X Y θ 2 θ 1 Figure 1 θ B|| Force Table Zabrina Maultsby Department of Natural Sciences University of Houston Downtown Introduction The purpose of this experiment is to verify vector addition. This lab is designed to gain experience in working with vector quantities. The lab involves the demonstration of the process of the addition of several vectors to form a resultant vector. Graphical solutions for the addition of vectors will be carried out. Background: If several forces with different magnitudes and directions act at a point its net effect can be represented by a single resultant force. This resultant force can be found using a special addition process known as vector addition. First, let’s consider the process of vector addition by graphical techniques. Figure 1 shows the case of two vectors A and B , which are assumed to represent two forces. Using the “parallelogram method”, we draw a line from the tip of vector A parallel to B and equal in length to B . Let’s denote this line as vector B||. The resultant R of the vector addition of A and B is found by constructing the straight line from the point at the tail of vector A to the tip of the newly constructed vector B| |.

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2 2 2 1 2 1 | | sin sin cos cos y x y y y x x x R R R R B A B A R B A B A R + = = + = + = + = + = θ = x y R R arctan In the process of vector addition, each vector to be added is first resolved into components as shown
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Gravitational%20Acceleration[1] - Rx Ry X Y Zabrina...

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