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# Please use the information given to completely fill in tables 1-3 ....

Please use the information given to completely fill in tables 1-3. Please also draw a vector sum diagram and a component diagram for the results. Please provide any explanations and show all work. Please do NOT skip anything. Thank you!

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1. Notation used in all the three measurements in Exp 4 (a) In all the three measurements, each force is produced by a hanging mass on which the value of the mass is labeled in units of g (gram) rather than kg. (b) The meaning of the notations used in the three measurements, for example, 131 : 200 g at 30.0&quot; means that F, is produced by a hanging mass of 200 g at 30.0&quot;, the magnitude off, is: F; = |f«';| = mg = 0.200(kg)x10.0(m/s2) = 2.00N Attention: Here we take the value of gravitational acceleration g = 10.0 m/ 52 rather than 9.80 m/ 52 in order to make a scale easier on the graphic sheet. As shown in the Exp 4 video we use a scale of 2 cm for 1 N on the graphic sheet when we use the graphic method to do vector sum. The angle of 6'51 2 30.00 is read directly from the circular scale on the force table (Fig. 4 in the lab manual) at which the string is directly above it. 2. Instruction on data analysis (a) Calculate F; &amp; F2 for measurement #1,calculate Pi, F2, F5 for measurements #2 &amp; #3. Record all the calculated force values under the caption of each corresponding Table. (b) Note: the relation between the resultant force Ii' and equilibrant force E is: R':—E and R=|R|=E=|E|. (c) Use graphical (parallelogram) method to determine the resultant force It 0 Draw a vector sum diagram (with ruler, protractor, compass) to scale on a graph sheet. (Note: graphic sheets are provided at the end of Exp 4 lab manual). a Measure the magnitude R and the orientation angle 6R- of the resultant force ii . I An example is given in Exp 4 video in which we use a scale of 2 cm for IN on the graphic sheet. . Record the magnitudes (R &amp; E) and orientation angles (6}e &amp; 65.) in the row "Graphic result" of each Table. (d) Use analytical method to determine the resultant force Ii . 0 Using component method (Fig. 3) compute the magnitude R and the orientation angle as of the resultant force if . 0 Record the magnitudes (R &amp; E) and orientation angles (19}; &amp; :95.) in the row "Analytical result" of each Table.

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Table 1 Results of Measurement #1: F, : 200 g at 30.00; F2 : 200 g at 120.0. Calculate: F1 = F = N , F2 = F2 = N R = \R (N) E = E (N) Resultant force Balance force Graphical result Analytical result Table 2 Results of Measurement #2: F1 : 150 g at 30.00; F2 : 150 g at 150.00; F3 : 150 g at 180 Calculate: Fi = F = N, F2 =F2 = N , F3 = F3 = N. R = R (N) E = |E (N) Resultant force Balance force Graphical result Analytical result Table 3 Results of Measurement #3: F, : 250 g at 30.00; F2 : 200 g at 120.00; F3 : 150 g at 180.0 Calculate: F = F = N , F2 = F2 = N , F3 = F3 = N. R = R (N) OR E = E (N) Resultant force Balance force Graphical result Analytical result

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(b) The drawing of the vector sum diagram must be included in your Exp 4 lab report. (0) The drawing of the component diagram must be included in your Exp 4 lab report.

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