How to find the amplitude ratio and mode shape of the masses in a system of two degrees of freedom!
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How to find the amplitude ratio and mode shape of the masses in a
system of two degrees of freedom!
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- Answer the question in full details, thank you very much: A star of mass 1.87 x 10^31 kg and diameter 9.44 x 10^9 m rotates with a period of 26.0 days. Suddenly, the star changes size and rotates with a new period of 19.0 days. The mass of the star is conserved. Assuming a uniform (but different) density both before and after the size change, by what fraction doesits [diameter change? In other words, what is (new diameter)/(old diameter)?We would like to be able to make meaningful interpretations of variations in the acceleration due to gravity, g, as small as 0.1 mgal. How accurate must our knowledge of the latitude of our gravity stations be? (A “gravity station" is just a location at which you make a gravity measurement.) You can assume your latitude is 45°.Black holes are difficult to observewith telescopes because they, bydefinition, don’t emit or reflect any light. They can be found by look-ing for other nearby objects orbit-ing them, however. Here is a dia-gram of a star in a circular orbit around a black hole. a. The period of the star’s orbit is 90 days, and its orbital radius around the black hole isobserved to be 3.6 : ×10^11 m. Find the orbital velocity of the star in units of m/s. (You need to convert 90 days to seconds, first). The circumference of a circle is 2πr. b. The mass of the star is known to be 4 × 10^30 kg. Find the centripetal acceleration of thestar and the strength of the gravitational force on the star. c. Find the mass of the black hole.