The figure 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 \(Q\). The value \(h\) should have so that
the rod exerts no vertical force on the bearing when the rod is horizontal
and balanced can be expressed as \[\sqrt{ \frac{a qQ}{4 \pi \epsilon_{0} W}}\]
what is the value of \(a+1\).

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