1. Tardigrade
  2. Question
  3. Physics
  4. A rectangular frame is to be suspended symmetrically by two strings of equal length on two supports (Fig.) 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/16916ef38b7d12f7b6cce91b167f34ef-.png /> The tension in the strings will be

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A rectangular frame is to be suspended symmetrically by two strings of equal length on two supports (Fig.) It can be done in one of the following three ways;
image
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 make with the horizontal from figure. Then,
$2 T \sin \theta=m g$
Or $T =\frac{m g}{2 \sin \theta}$
or $T \propto \frac{1}{\sin \theta}$
$T$ is least if $\sin \theta$ has maximum value
i.e., $\sin \theta=1=90^{\circ}$ or $\theta=90^{\circ}$
image