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Consider an infinitesimally thin circular disk of radius R and mass M centered at the origin sitting in the xy-plane. The disk has non-uniform surface mass density o which varies linearly with radius, i.e., o = cr.

Consider an infinitesimally thin circular disk of radius R and mass M centered at the origin sitting in the xy-plane. The disk has non-uniform surface mass density o which varies linearly with radius, i.e., o = cr.

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Consider an infinitesimally thin circular disk of radius R and mass M centered at the origin sitting in the xy-plane. The disk has non-uniform surface mass density o which varies linearly with radius, i.e., o = cr.
Transcribed Image Text:Consider an infinitesimally thin circular disk of radius R and mass M centered at the origin sitting in the xy-plane. The disk has non-uniform surface mass density o which varies linearly with radius, i.e., o = cr.
(b) Determine the gravitational field g(r) at the point (0, 0, z) above the disk. (c) Determine the gravitational potential (r) at the point (0, 0, z) above the disk.
Transcribed Image Text:(b) Determine the gravitational field g(r) at the point (0, 0, z) above the disk. (c) Determine the gravitational potential (r) at the point (0, 0, z) above the disk.
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