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A solid hemisphere of weight $P$ rests with its curved surface in contact with a rough inclined plane. A weight $Q$ is placed at some point on the rim of the hemisphere to keep its plane surface horizontal then its minimum coefficient of friction is
  • A$\mu  = \,\frac{Q}{{\sqrt {P(P + 2Q)} }}$
  • B$\mu  = \,\frac{Q}{{\sqrt {P(Q + 2P)} }}$
  • C$\mu  = \,\frac{P+Q}{{\sqrt {P(P + 2Q)} }}$
  • D$\mu  = \,\frac{P-Q}{{\sqrt {P(P + 2Q)} }}$
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