First slide
Elastic Modulie
Question

A uniform rectangular block of mass 50 kg is hung horizontally with the help of three wirres A, B and C each of length and area of 2 m and 10 mm2 respectively as shown in the figure. The central wire is passing through the centre of gravity and is made of a material of Young's modulus 7.5 × 1010 Nm–2 and the other two wires A and C symmetrically placed on either side of the wire B are of Young's
modulus 1011 Nm–2. The tension in the wires A and B will be in the ratio of

Moderate
Solution

\large {e_A} = {e_B} = {e_C} \Rightarrow \frac{{{F_A}l}}{{A{Y_A}}} = \frac{{{F_B}l}}{{A{Y_B}}}
\large \Rightarrow \frac{{{F_A}}}{{{F_B}}} = \frac{{{Y_A}}}{{{Y_B}}} = \frac{{{{10}^{11}}}}{{7.5 \times {{10}^{10}}}} = \frac{{10}}{{7.5}} = \frac{{100}}{{775}} = \frac{4}{3}

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