Question 48: Laws of Motion

Question

A body of mass $m$ is suspended by two strings making angles $	heta_1$ and $	heta_2$ with the horizontal ceiling with tensions $T_1$ and $T_2$ simultaneously. $T_1$ and $T_2$ are related by $T_1=\sqrt{3} T_2$, the angles $	heta_1$ and $	heta_2$ are

Accepted Answer

$$\begin{aligned}
& \mathrm{T}_1 \sin 	heta_1+\mathrm{T}_2 \sin 	heta_2=\mathrm{mg} \& \mathrm{~T}_1=\sqrt{3} \mathrm{~T}_2 \
& \Rightarrow \mathrm{~T}_2\left[\sqrt{3} \sin 	heta_1+\sin 	heta_2ight]=\mathrm{mg} \
& 	ext { for } 	heta_1=60^{\circ} \& 	heta_2=30^{\circ} \
& \mathrm{T}_2=\frac{\mathrm{mg}}{2}
\end{aligned}$$

Answer

$	heta_1=30^{\circ} 	heta_2=60^{\circ}$ with $T_2=\frac{3 \mathrm{mg}}{4}$

Answer

$	heta_1=45^{\circ} 	heta_2=45^{\circ}$ with $T_2=\frac{3 m g}{4}$

Answer

$	heta_1=30^{\circ} 	heta_2=60^{\circ}$ with $T_2=\frac{4 m g}{5}$

Answer

$	heta_1=60^{\circ} 	heta_2=30^{\circ}$ with $T_2=\frac{m g}{2}$

Laws of Motion

A body of mass m is suspended by two strings making angles \theta_1 and \theta_2 with the horizontal ceiling with tensions T_1 and T_2 simultaneously. T_1 and T_2 are related by T_1=\sqrt{3} T_2, the angles \theta_1 and \theta_2 are

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