Problem #3 (6 points) shaker tables are often used at nasa goddard to simulate mechanical loading during rocket launches and thus test the structural integrity of satellite payloads during the launch process. a particular table at goddard provides a known periodic sinusoidal displacement that serves as an input signal to a sensor/device placed on top. this may be used to calibrate an accelerometer if known displacements/accelerations are provided at a known frequency. if the shaker table displacement d(t) is programmed to vary between 2 and 5 mm at a frequency of 100 hz: a) express theinput signal dit') as a fourier series, b) plot the signal in the time domain (matlab preferred, hand-sketch acceptable) from time t 0 to t 40 msec, clearly labeling all axes and pertinent specifications, and construct an amplitude spectrum plot c)

25pts the diagram shows the positions of the sun, moon and earth during spring tides, when the high tides are at their highest and low tides at their lowest. what is it about these positions that causes these high and low tides?

Which types of electromagnetic waves have higher frequencies than the waves that make up ultraviolet light? check all that apply. radio waves infrared light microwaves gamma rays visible light x-rays

5submission this assignment is worth 20 points total. you are required to submit the following by next lab: 1. (3 points) determine the equation for the output angular velocity ω2 = θ˙ 2 as a function of θ1, ω1 = θ˙ 1 and α. you must show all your work to receive credit. 2. (2 points) use the result of problem#1 to plot ω2 over 0 ≤ θ1 ≤ 360deg with ω1 = 360deg/sec. do this for α = {10,30}deg. show the results on the same plot and properly label the axes, title, legend. for this you can use matlab or ms excel. 3. (3 points) determine the equation for the output angular acceleration ω˙ 2 and create a plot similar to the one in problem#2. 4. (10 points) submit plots of the results (ω2 and ω˙ 2) obtained from creo/mechanism and compare them to results of problem#2 and problem#3. note that you should do these comparisons for the two cases with α = {10,30}deg. 5. (2 points) provide a brief explanation of the results. did they match? what are the implications as misalignment angle increases?