1 - Define the flowing a) Generalized Coordinates. b) Latitude and Longitude Coordinates . 2 - The moment of inertia of a semicircular lamina plate is :
I=|[(2)/(5)ma2,ma,0],[ma,(2)/(5)ma2,0],[0,0,(2)/(5)ma2]|
a) Find the angular momentum about the origin of this semicircular lamina plate when it rotating with angular speed about the x -axis b ) Find the magnitude of this angular momentum. c ) Find the rotational kinetic energy 3 - The Lagrange equation for a system is:
L=(1)/(2)(m_(1)+(1)/(a^(2)))x^(12)+m_(2)gx=0
Find the acceleration of the system?

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1 - Define the flowing a) Generalized Coordinates. b) Latitude and Longitude Coordinates . 2 - The moment of inertia of a semicircular lamina plate is :

I=|[(2)/(5)ma2,ma,0],[ma,(2)/(5)ma2,0],[0,0,(2)/(5)ma2]|

a) Find the angular momentum about the origin of this semicircular lamina plate when it rotating with angular speed about the x -axis b ) Find the magnitude of this angular momentum. c ) Find the rotational kinetic energy 3 - The Lagrange equation for a system is:

L=(1)/(2)(m_(1)+(1)/(a^(2)))x^(12)+m_(2)gx=0

Find the acceleration of the system?

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