Q. 81 A steel ball of mass $m=10 \mathrm{~kg}$ is suspended from the ceiling of a moving carriage by two inextensible strings making $60^{\circ}$ with the horizontal as shown. The carriage has an acceleration $a$ such that the tension in the string on the right is double the tension in the string on the left. Take the acceleration due to gravity $(g)$ as $10 \mathrm{~m} / \mathrm{s}^{2}$. The acceleration $a$ (in $\mathrm{m} / \mathrm{s}^{2}$ ) is (rounded off to one decimal place).
