A body of mass 1 kg is suspended with the help of two strings making angles as shown in figure. Magn

Question

A body of mass 1 kg is suspended with the help of two strings making angles as shown in figure. Magnitudes of tensions $T_{1}$ and $T_{2}$, respectively, are (in N )\ (Take acceleration due to gravity $10 \mathrm{~m} / \mathrm{s}^{2}$ )\

Professor PC Thomas Classes · Answer

(a): $m=1 \mathrm{~kg}$\ By using Lami's theorem,\ $\frac{T_{1}}{\sin \left(90^{\circ}+30^{\circ}ight)}=\frac{T_{2}}{\sin \left(90^{\circ}+60^{\circ}ight)}=\frac{m g}{\sin 90^{\circ}}$\ $T_{1}=\sin 120^{\circ} 	imes 1 	imes g$\ $T_{1}=\frac{\sqrt{3}}{2} 	imes 10=5 \sqrt{3} \mathrm{~N}$\ And $T_{2}=\sin 150^{\circ} 	imes 1 	imes g=5 \mathrm{~N}$\