Rod Bearing +2q W +Q The figure above shows a long, nonconducting, massless rod of length L, pivoted at its center and balanced with a block of weight W at a distance x from the left end. At the left and right ends of the rod are attached small conducting spheres with positive charges q and 2q, respectively. A distance h directly beneath each of these spheres is a fixed sphere with positive charge Q. NOTE: Express your answer in terms of the given variables, use permittivity constant co. (a) Find an equation for the distance x when the rod is horizontal and balanced. x = (b) What value should h have so that the rod exerts no vertical force on the bearing when the rod is horizontal and balanced? h =

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L
Rod
Bearing
+2q
+Q
W
+Q +
The figure above shows a long, nonconducting, massless rod of
length L, pivoted at its center and balanced with a block of weight W
at a distance x from the left end. At the left and right ends of the
rod are attached small conducting spheres with positive charges q
and 2q, respectively. A distance h directly beneath each of these
spheres is a fixed sphere with positive charge Q.
NOTE: Express your answer in terms of the given variables, use permittivity constant co.
(a) Find an equation for the distance x when the rod is horizontal
and balanced.
(b) What value should h have so that the rod exerts no vertical
force on the bearing when the rod is horizontal and balanced?
h =
Transcribed Image Text:L Rod Bearing +2q +Q W +Q + The figure above shows a long, nonconducting, massless rod of length L, pivoted at its center and balanced with a block of weight W at a distance x from the left end. At the left and right ends of the rod are attached small conducting spheres with positive charges q and 2q, respectively. A distance h directly beneath each of these spheres is a fixed sphere with positive charge Q. NOTE: Express your answer in terms of the given variables, use permittivity constant co. (a) Find an equation for the distance x when the rod is horizontal and balanced. (b) What value should h have so that the rod exerts no vertical force on the bearing when the rod is horizontal and balanced? h =
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