Chapter 6, Problem 6.8P

Curve Fitter CURVE FITTER Open Update Fit Save New Exclusion Rules Select Validation Data Polynomial Exponential Logarithmic Auto Fourier Fit Fit Duplicate Data Manual FILE DATA FIT TYPE FIT Harmonic Motion X us 0.45 mi ce 0.4 0.35 0.3 0.25 0.2 Residuals Plot Contour Plot Plot Prediction Bounds None VISUALIZATION Colormap Export PREFERENCES EXPORT Fit Options COA Fourier Equation Fit Plot x vs. t -Harmonic Motion a0+ a1*cos(x*w) + b1*sin(x*w) Number of terms Center and scale 1 ▸ Advanced Options Read about fit options Results Value Lower Upper 0.15 a0 0.1586 0.1551 0.1620 a1 0.0163 0.0115 0.0211 0.1 b1 0.0011 -0.0093 0.0115 W 1.0473 0.9880 1.1066 2 8 10 t 12 14 16 18 20 Goodness of Fit Value Table of Fits SSE 0.2671 Fit State Fit name Data Harmonic Motion x vs. t Fit type fourier1 R-square 0.13345 SSE DFE 0.26712 296 Adj R-sq 0.12467 RMSE 0.030041 # Coeff Valic R-square 0.1335 4 DFE 296.0000 Adj R-sq 0.1247 RMSE 0.0300

What point on the spring or different masses should be the place to measure the displacement of the spring? For instance, should you measure to the bottom of the hanging masses?

Let's assume that the brightness of a field-emission electron gun is given by β = 4iB π² d²α² a) Assuming a gun brightness of 5x108 A/(cm²sr), if we want to have an electron beam with a semi-convergence angle of 5 milliradian and a probe current of 1 nA, What will be the effective source size? (5 points) b) For the same electron gun, plot the dependence of the probe current on the parameter (dpa) for α = 2, 5, and 10 milliradian, respectively. Hint: use nm as the unit for the electron probe size and display the three plots on the same graph. (10 points)

i need step by step clear answers with the free body diagram clearly

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Review the data in Data Table 1 and examine the standard deviations and 95% Margin of Error calculations from Analysis Questions 3 and 4 for the Acceleration of the 1st Based on this information, explain whether Newton’s Second Law of Motion, Equation 1, was verified for your 1st Angle. Equation: SF=ma  Please help with explaining the information I collected from a lab and how it relates to the equation and Newton's Second Law. This will help with additional tables in the lab. Thanks!

Please solve and answer the problem step by step with explanations along side each step stating what's been done correctly please. Thank you!! ( preferably type out everything)

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