Physics lab exp. 6.docx - Experiment#6 The Addition and...

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Experiment #6 The Addition and Resolution of Vectors: The Force Table Physics 1101 – 1L3 General Physics I Laboratory Fall 2020 Professor: Dr. Juan Homero Hinojosa 09/28/2020
____ out of 3 Purpose The objective of this experiment is to find the resultant or vector sum of two or more vectors. In order for this experiment to be successful, special methods of the vector addition must be used. This is done by using graphical and analytical methods. Once the results have been obtained then the graphical and analytical methods can then be compared with the experimental results that were obtained from a force table. The experimental arrangements of forces (vectors) will then physically illustrate the principles of the vector addition. After performing this experiment and analyzing the data, you should be able to do the following: 1. Add a set of vectors graphically to find the resultant. 2. Add a set of vectors analytically to find the resultant. 3. Appreciate the difference in convenience between using graphical and using analytical methods of vector addition. ____ out of 20 Theory The main idea behind this experiment is Vector Addition. What this means is the addition of different distances at different angels, which are considered magnitude and direction. There are three methods to calculate the addition of vectors. The first one talked about in this experiment is the Graphical Method, which is basically calculating the vectors by drawing and graphing them. The vectors are added by the Triangle Method. This method is basically drawing the three vectors in a way that they connect each other so it would facilitate calculations of the vectors. Formula for this method is: R = F x 2 + F y 2 The next method is the Analytical Method, which is basically using tested formulas to add the vectors. The formulas used in this experiment are the following: F x = F 1 x cosθ + F 2 x cosθ F y = F 1 y sinθ + F 2 y sinθ For the direction/angle use: θ = tan 1 F y F x
Now, for the Experimental method is carrying out the actions of the experiment physically. So, in this case, it is mainly about adding weights to each hanger of the clamp until they total .2 kg or 200 grams. Then, the data is recorded (angle, weight, etc.) Also, in this section one must make sure that the strings are stable for chances of error are really high, unlike the other two methods (Graphical and Analytical). Equations Weight = gravitational force w = mg Law of Cosines R 2 = A 2 + B 2 2 ABcosγ Law of Sines B sin θ = R sin γ = A sin β R = R 2 x + R ² y tan θ = Ry R θ = tan ¹ Ry R ¿ ) E = 180 E = -R ____ out of 2 Equipment Force table with four pulleys Four weight hangers Set of slotted weights (masses), including three of 50 g and three of 100 g String Protractor Ruler Level 3 sheets of Cartesian graph paper ____ out of 20 Procedure

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