A smooth ring of mass \( M \) is threaded on a string whose ends are then threaded over two smoo...
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A smooth ring of mass \( M \) is threaded on a string whose ends are then threaded over two smooth fixed pulleys with masses \( m \) and \( m^{\prime} \) tied on to them respectively. The various portions of strings are vertical. The system is free to move. What is the condition if \( M \) alone is to remain at rest ?
Figure \( 3.79 \)
(A) \( \frac{4}{M}=\frac{1}{m}+\frac{1}{m^{\prime}} \)
(B) \( \frac{2}{M}=\frac{1}{m}+\frac{1}{m^{\prime}} \)
(C) \( \frac{1}{M}=\frac{1}{m}+\frac{1}{m^{\prime}} \)
(D) \( \frac{3}{M}=\frac{1}{m}+\frac{1}{m^{\prime}} \)
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