A cylindrical reservoir with a radius R is hang on a string (so it may freely...
A cylindrical reservoir with a radius R is hang on a string (so
it may freely rotate). The reservoir has two nozzles at its bottom
part. The nozzles are oriented tangentially to the reservoir
surface. They exert thus a torque giving rise to rotations about
the vertical axis. Find the angular velocity of the reservoir
rotation. Assume that the reservoir radius is much larger than that
of the nozzles. The separation between the nozzles is 2L
R>r Figure 1: water...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...