1. Find ds2 in spherical coordinates by the method used to obtain (8.5) for cylindrical coordinates. Use your result to
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1. Find ds2 in spherical coordinates by the method used to obtain (8.5) for cylindrical coordinates. Use your result to
1. Find ds2 in spherical coordinates by the method used to obtain (8.5) for cylindrical coordinates. Use your result to find for spherical coordinates, the scale factors, the vector ds, the volume element, the basis vectors ar, ao, ao and the corresponding unit basis vectors er, ee, ep. Write the gij matrix. 2. Observe that a simpler way to find the velocity ds/dt in (8.10) is to divide the vector ds in (8.6) by dt. Complete the problem to find the acceleration in cylindrical coordinates.
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