10.26. Calculate the gravitatiorial potential and the gravitational field intensity duc t a thin circular disk...

 

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10.26. Calculate the gravitatiorial potential and the gravitational field intensity duc tó a thin circular disk of mass M and radius R at a point P at a distance r from the center of the disk and making an an- gle 6 with the Z-axis, similar to Fig. P10.23. Assume that r> R, and expand the expression for the - potential, keping only the second-order termis in Rlr. Graph V(r) and g(r). 10.17. Considet a body that has a cylindrical symimėtry with density p(r, 6) for r.< R and p = 0 for r> R. Calculate the gravitational potential at a point (7, 6) far away from thẻ body. (Expand in powers of Rir.) 10.26. Calculate the gravitatiorial potential and the gravitational field intensity duc tó a thin circular disk of mass M and radius R at a point P at a distance r from the center of the disk and making an an- gle 6 with the Z-axis, similar to Fig. P10.23. Assume that r> R, and expand the expression for the - potential, keping only the second-order termis in Rlr. Graph V(r) and g(r). 10.17. Considet a body that has a cylindrical symimėtry with density p(r, 6) for r.< R and p = 0 for r> R. Calculate the gravitational potential at a point (7, 6) far away from thẻ body. (Expand in powers of Rir.)