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A cylindrical satellite of radius 1 m is initially spinning about the axis of symmetry at the rate of 2 rad/s with a nutation angle of 15o. The principal moments of inertia are A ¼ B ¼ 30 kg$m2 and C ¼ 60 kg$m2. An energy dissipation device is built into the satellite, so that it eventually ends up in pure spin around the z-axis.
(a) Calculate the final spin rate about the z-axis.
(b) Calculate the loss of kinetic energy.
(c) A tangential-release yo-yo despin device is also included in the satellite. If the two yo-yo masses are each 7 kg, what cord length is required to completely despin the satellite? Is it wrapped in the proper direction in the figure?
The vice president of business services at Prescott College (PC) is worried about the future of her on campus bookstore. The 25 year old college has operated its own bookstore for its entire history, but now finds that it may have to contract out..
Use differentials to estimate the decrease in the number of housing starts when the mortgage rate is increased from 12% to 12.5%.
Please show each step of your solution and tell me the theorems, definitions, etc. if you use any. Find the errors E_ k and relative errors R_k for the values p1 in parts b) and c).
Consider the function f(x,y,z)= e^xy cos(x+z). What is the directional derivative for f at the point P(0, -pie/6, pie/3) in the direction u parallel to i - j + 2k
When the sum of a group of scores is 280 and the mean of the scores is 7, how many scores are in the distribution? Find the mode, median, and mean of the distribution depicted in the following histogram
You construct a box with a volume of 146 cubic inches from a piece of metal by cutting 4 inch squares from the corners and folding up the sides. Find the width of the original piece of metal.
The assessed value on a property increased from $285,000 last year to $298,000 in the current year. Last year's property tax rate was $1.56324 per $100 of assessed value. a) What will be the change in the property tax from last year if the new tax ra..
a group of four friends celebrated a birthday i local japanese restaurant. after adding 15 tip to the original bill
Compute the wind chill for an air temperature of 15°C and a wind speed of 12 meters per second and Find the exact value of the trigonometric function
Orbit of Venus. If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take for Venus to complete one orbit of the sun? Use the information
Two trains are approaching each other on the same track. They are 500 miles from each other. One train is traveling at 40 mph, the other at 60 mph. A bird is flying back and forth between them at 150 mph. How long before they collide?
Write an equation in slope-intercept form for the line described.
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