Question

You must show your work on your own paper. Use no less than one sheet of paper per problem, and only show work on the front of the piece of paper. For full credit, sketches must be shown where appropriate. Finally, you are expected to do your work and answers must be given in the system of units used in the problem statement. If the problem is given in terms of kg, mm or m, and N, then you are expected to work in metric units. If the problem is given in terms of slugs (mass), inches and feet, and pounds (lb), I expect to see work in English units.


2. Going back to the early days of the Space Age, Goodyear has developed plans and prototypes for inflatable spacecraft.
Here, as a sensor target, an inflatable satellite is being launched from the International Space Station.
When launched, the package is in a tightly packed sphere 1 meter in diameter. The 100 kg mass is uniformly distributed with the mass center at the center.   
When launched, the package is ejected at a linear speed of 25 m/sec and is ejected with a spin of 240 RPM.   a) Find the linear and angular impulse necessary to produce these conditions. Also, if the launch mechanism develops the spin in 10 sec and the linear speed in 2 sec, find the average moment and force that must be applied. (15 pts)
After launch, the inflatable package inflates and becomes a much larger sphere. The mass is unchanged and the diameter changes from 1 meter to 5 meters.   b) Find the final angular speed in rad/sec and RPM. (10 pts)

Answer 1