The (operatorname{arm} O A) of an epicyclic gear train shown in Fig. 106 below revolves counter-clockwise about

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The \(\operatorname{arm} O A\) of an epicyclic gear train shown in Fig. 106 below revolves counter-clockwise about \(O\) with an angular velocity of \(4 \mathrm{rad} / \mathrm{s}\). Both gears are of same size. The angular velocity of gear \(C\), if the sun gear \(B\) is fixed, is

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(a) \(4 \mathrm{rad} / \mathrm{s}\)

(b) \(8 \mathrm{rad} / \mathrm{s}\)

(c) \(10 \mathrm{rad} / \mathrm{s}\)

(d) \(12 \mathrm{rad} / \mathrm{s}\).

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