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  4. A rectangular frame is to be suspended symmetrically by two strings of equal length on two supports as shown in the figure. It can be done in one of the following three ways<img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/6f5f129a3de495b62c54c28aedd715c3-.png /> The tension in the strings will be

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Q. A rectangular frame is to be suspended symmetrically by two strings of equal length on two supports as shown in the figure. It can be done in one of the following three waysimage
The tension in the strings will be

Mechanical Properties of Solids

Solution:

Let $M$ be the mass of rectangular frame and $\theta$ be the angle which the tension $T$ in the string makes with the horizontal as shown in the figure.
$\therefore $ $\quad$ $2T sin \,\theta$ $=Mg$
image
or $\quad$ $T=\frac{Mg}{2 sin\, \theta}$
or$\quad$ $T\propto\frac{1}{sin\, \theta}$
$T$ is least if sin $\theta$ has maximum value i.e., $sin\, \theta=1=sin \,90^{\circ}$.
Thus option is correct.