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Please all hand written with all the work shown. There is only one part (Problem 2. Part 2) that has to be done by Matlab.

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Please all hand written with all the work shown. There is only one part (Problem 2. Part 2) that has to be done by Matlab.
Answered Same Day Dec 29, 2021

Solution

David answered on Dec 29 2021
115 Votes
Due: Thu Mar 7 2013 MTH 437 Homework 2



Problem 1 (10 points)
Spherical coordinates are defined by
1. Draw a small sketch to interpret the geometry.




















Compute the kinetic energy T in spherical coordinates



( ̇ ̇ ̇ )
Sol:
̇ ̇ ̇ ̇
̇ ̇ ̇ ̇
̇ ̇ ̇
Now,
̇ ̇ ̇
( ̇ ̇ ̇)

( ̇ ̇ ̇)

( ̇ ̇)

̇ ( ̇)

( ̇)





( ̇ ( ̇)

( ̇)

)
x
z
y
?
?(?,?, ?)...
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