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

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

(A) $\frac{3 P}{\sqrt{2}}$

(B) $\frac{P}{\sqrt{2}}$

(C) $\frac{3 P}{8}$

(D) $\sqrt{2} P$

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

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

(A) $\frac{3 P}{\sqrt{2}}$

(B) $\frac{P}{\sqrt{2}}$

(C) $\frac{3 P}{8}$

(D) $\sqrt{2} P$

127