GATE Civil Engineering

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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

- $\dfrac{3P}{\sqrt{2}} \\$
- $\dfrac{P}{\sqrt{2}} \\$
- $\dfrac{3P}{8} \\$
- $\sqrt{2}P$

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