6. a. Find the components of velocity and acceleration vectors in both cylindrical polar and spherical coordinates. [20pts] b. Suppose a particle of mass m is rotating (non-uniformly) around the origin in a 3d space at a fix distance r. Find the general expression of the angular momentum and Torque experienced by the particle in spherical coordinates.[20 pts.]

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Please solve letter B only. Thank you.
6. a. Find the components of velocity and acceleration vectors in both cylindrical polar
and spherical coordinates. [20pts]
b. Suppose a particle of mass m is rotating (non-uniformly) around the origin in a 3d
space at a fix distance r. Find the general expression of the angular momentum and
Torque experienced by the particle in spherical coordinates.[20 pts.]
Transcribed Image Text:6. a. Find the components of velocity and acceleration vectors in both cylindrical polar and spherical coordinates. [20pts] b. Suppose a particle of mass m is rotating (non-uniformly) around the origin in a 3d space at a fix distance r. Find the general expression of the angular momentum and Torque experienced by the particle in spherical coordinates.[20 pts.]
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