PHY 211 Lab 4 Forces in Equilibrium half complete

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ PI Name DA Name R Name ~ ~ ~ δM1 F1 δM2 F2 ~ 180 0.09995 5E-05 0.97951 20 5E-05 0 0.00049 F3min F3max F3_measured δF3 0.05295 0.05305 0.51891 0.51989 0.5194 0.00049 13.5 0.5 ~ ~ ~ X component Y component ~ F1 -0.97951 1.20004516307E-16 F3x F3y F3_calc δF3 ~ F2 0.000460449384 0.00016758987023 0.97905 -0.0001675899 0.979049565 -0.00049 -0.000171 4.908595312934E-06 ~ ~ DA 1: Include the two scatter plots that compare the magnitudes and angles. These charts should have titles, axes, labels, units, etc, as shown in Figure 2. ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ F1x_max F1x_min F2x_max F2x_min F1y_max F1y_min F2y_max F2y_min F3x_max F3x_min F3y_max F3y_min ~ -0.97902 -0.98 0.000460449384185 0.00046 1.2006455E-16 1.199445E-16 0.00016759 0.000168 0.979539550615815 0.9785595506 -0.000168 -0.000168 ~ F3x F3y F3_min F3_max F3 δF3 θ3max θ3min 0.9790495506158 -0.00016758987 0.979539564952328 0.97856 0.97904956496 -0.00049 -0.0098028 -0.009813 -0.00980766965134 4.908595E-06 ~ ~ Researcher: Explain in detail how your group determined θ_max and θ_min. ~ ~ Large surface area ~ ~ θmax θmin μs_large max μs_large mμs_large δμs ~ 17.5 16.5 1.51371554438863 1.510264 1.5119899257 0.0017256187 ~ ~ ~ Medium surface area ~ ~ θmax θmin μs_Medium max μs_Mediumμs_Medium δμs ~ 12.5 11.5 1.49096634108266 1.484058 1.4875121646 0.0034541765 ~ ~ small surface area ~ ~ θmax θmin μs_small max μs_small mμs_small δμs ~ 11.5 10.5 1.48405798811891 1.475845 1.47995130429 0.0041066838 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Large surfa 1.51199 ~ medium su 1.487512 ~ small surfa 1.479951 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Researcher: Create a careful scale drawing, similar to Figure 1, of the three forces, F_1,F_2, and F_3 that you have selected. Then create a second figure where these forces are rearranged without changing the magnitudes or directions so they follow the “tip-to-tail” method of addition of vectors. Explicitly explain the concept(s) which connect(s) your drawing to Newton’s Second Law. Experimental Determination of F 3 and θ 3 θ 1 M1 (holder included) θ 2 M2 (holder included) M3_min (holder included) M3_max (holder included) θ 3_measured δθ 3 Calculation of F 3 and θ 3 F 3 theory θ 3 _calc δθ 3 θ 3 δθ 3 DA2: One striking feature of Figure 2 is the fact that the “Measured” points have error bars that are much larger than the “Calculated” points. Highlight rows 31 through 37, right-click, and select “Unhide.” Use these additional cells to determine why the “Measured” results have uncertainties that are so much bigger than the “Calculated” results. Ultimately you want to determine which cells in row 5 control the size of the error bars for each type of result. The cells that include everything with the angle of F2. Since F1 Contributes nothing to the x direction, then F2 should be what is making the error bars for figure 2 bigger than the calculated version. DA: Create a scatter plot to compare μs based on the surfaces in contact. Label all axes. In your caption, comment on whether the three μ measurements agree or not. PI: Using the charts provided by the DA, explain why the measured and calculated values of F_3 and θ_3 overlap or not. In your explanation, use terms such as overlap and error bars etc. PI: Using the chart provided by the DA, explain whether μs depends on the surface area of the wooden block. In your explanation, use terms such as overlap and error bars etc. PI: The formula μ_s≥tanθ relies on the fact that there are exactly three forces involved on the incline plan, which form a triangle in exactly the same way that the Researcher described at the end of part 1. Build upon the Researchers work within the context of static friction to determine WHY μ_s≥tanθ. No the three measurements do not agree. The measurements are suppose to be different due to the different amounts of surface area. 0.8 1 1.2 1.4 1.6 1.8 2 -2 0 2 4 6 8 10 12 14 16 - 0.00017117608448 7 13.5 Angle difference between calc & measured θ3_measured θ3_calc Degrees 0.8 1 1.2 1.4 1.6 1.8 2 0 0.2 0.4 0.6 0.8 1 1.2 0.97904956495950 4 0.5194 Difference of magnitude between calc & measured F3_measured F3_calc Magnitude of orce 0.8 1 1.2 1.4 1.6 1.8 2 1.46 1.47 1.48 1.49 1.5 1.51 1.52 Static Coefficient Large surface area medium surface area small surface area µs