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  4. A and B are two nails on a horizontal line. AC, BC are two uniform strings from which a weight of 100 N is suspended. The tension of AC is: (in N):

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Q. A and B are two nails on a horizontal line. AC, BC are two uniform strings from which a weight of 100 N is suspended. The tension of AC is: (in N):

JIPMERJIPMER 2002Gravitation

Solution:

According Lamis theorem
$ \frac{{{T}_{1}}}{\sin 180{}^\circ -\theta }=\frac{{{T}_{2}}}{\sin \,(90{}^\circ +\theta )}=\frac{W}{\sin 90{}^\circ } $ $ \sin \theta =\frac{4}{5}, $ $ \cos \theta =\frac{3}{5} $ So, $ {{T}_{1}}=W\sin \theta =100\times 4\text{/}5=80N $

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