Several planets (jupiter, saturn, uranus) possess
nearlycircular surrounding rings, perhaps composed of material
thatfailed to form a satellite. in addition, many galaxiescontain
ring-like structures. consider a homogeneous ring ofmass m and
radius r.
a.)what gravitational attraction does it exert on a particleof
mass m located a distance x from the center of the ring alongits
axis?
b.) supposes the particle falls from rest as a result of
theattraction of the ring of matter. find an expression for
thespeed with which it passes through the center of the ring.