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.
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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) $\sqrt{2} P$
(A) $\frac{3 P}{\sqrt{2}}$
(B) $\frac{P}{\sqrt{2}}$
(C) $\frac{3 P}{8}$
(D) $\sqrt{2} P$
Question ID - 156548 | SaraNextGen Top Answer 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) $\sqrt{2} P$