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8.Mechanical Properties of Solids
hard
Consider the situation shown in figure. The force $F$ is equal to the $m_2g/2.$ If the area of cross-section of the string is $A$ and its Young's modulus $Y$, find the strain developed in it. The string is light and there is no friction anywhere
A
$\frac{{{m_2}g\,\left( {2{m_1} + {m_2}} \right)}}{{AY\,\left( {{m_1} + {m_2}} \right)\,}}$
B
$\frac{{{m_2}g\,\left( {{m_1} + {m_2}} \right)}}{{2AY\,\left( {{m_1} + {m_2}} \right)\,}}$
C
$\frac{{{m_2}g\,\left( {2{m_1} + {m_2}} \right)}}{{2AY\,\left( {{m_1} + {m_2}} \right)\,}}$
D
None of these
Solution
$a = \frac{{{m_2}g/2}}{{{m_1} + {m_2}}}$
$T = m_2\,(g -a)$
Strain $= \frac{T}{{AY}}$
Standard 11
Physics
