A ball of mass 1 kg hangs in equilibrium from two strings $OA$ and $OB$ as shown in figure. What are the tensions in strings $OA$ and $OB?$ (Take $g = {10\ ms}^{- 2}$) [image:5_image68.emf]

Question

Dr. Abubacker · Accepted Answer

(c) Various forces acting on the ball are as shown in figure. The three concurrent forces are in equilibrium. Using Lami’s theorem
$\frac{T_{1}}{\sin{150{^\circ}}} = \frac{T_{2}}{\sin{120{^\circ}}}$
$= \frac{10}{\sin{90{^\circ}}}$
$\frac{T_{1}}{\sin{30{^\circ}}} = \frac{T_{2}}{\sin{60{^\circ}}} = \frac{10}{1}$
$	herefore T_{1} = 10\sin 30{^\circ}$
$= 10 	imes 0.5 = 5$N
$T_{2} = 10\sin{60{^\circ}}$
and $= 10 	imes \frac{\sqrt{3}}{2} = 5\sqrt{3}\ $N

Q. A ball of mass 1 kg hangs in equilibrium from two strings $OA$ and $OB$ as shown in figure. What are the tensions in strings $OA$ and $OB?$ (Take $g = {10\ ms}^{- 2}$)

Explanation

Reviewed by Dr. Abubacker

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