  Particles inside a planetary ring are subject to forcing due to the central
planet, moons in inclined orbits, self-gravity of the ring and other forces due
to radiation drag, collisional effects and Lorentz force due to magnetic field
of the planet. We write down the equations of motion of a single particle
inside the ring and solve them analytically. We find that the importance of the
shear caused by variation of the radial velocity component with local vertical
direction cannot be ignored and it may be responsible for damping of the
bending waves in planetary rings as observed by the Voyager data. We present
the wave profile resulting from the dissipation. We estimate that the surface
mass density of the C ring to be of the order of $\sigma \sim 1.2-1.6$gm
cm$^{-2}$, and the height $h \sim 2.2-2.4$m. These theoretical results are in
agreement with observations.
