Question #168170

two identical 15 kg balls each 25 cm on diameter are suspended by two 35 cm wires. The entire apparatus is suspended by a single 18 cm wire. Find the tension in each of the 3 wires


1
Expert's answer
2021-03-04T11:55:58-0500

T1=T2=TT_1=T_2=T


Tsinα=mgT=mgsinαT\sin\alpha=mg\to T=\frac{mg}{\sin\alpha}


sinα=0.3520.12520.35=0.934\sin \alpha=\frac{\sqrt{0.35^2-0.125^2}}{0.35}=0.934


T=mgsinα=159.80.934157 (N)T=\frac{mg}{\sin\alpha}=\frac{15\cdot9.8}{0.934}\approx157\ (N) . Answer


T3=2mg=2159.8=294 (N)T_3=2mg=2\cdot15\cdot9.8=294\ (N) . Answer









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