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An assembly made of a rigid arm $A-B-C$ hinged at end $A$ and supported by an elastic rope $C-D$ at end $C$ is shown in the figure. The members may be assumed to be weightless and the lengths of the respective members are shown in the figure.

Under the action of a concentrated load $P$ at $C$ as shown, the magnitude of tension developed in the rope is

  1. $\dfrac{3P}{\sqrt{2}} \\$
  2. $\dfrac{P}{\sqrt{2}} \\$
  3. $\dfrac{3P}{8} \\$
  4. $\sqrt{2}P$
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