Mechanical Properties Of Solids Question 7

Question 7 - 2024 (30 Jan Shift 1)

Each of three blocks P, Q and R shown in figure has a mass of $3 kg$. Each of the wire A and B has crosssectional area $0.005 cm^{2}$ and Young’s modulus $2 \times 10^{11} N m^{-2}$. Neglecting friction, the longitudinal strain on wire $B$ is $\times 10^{-4}$. (Take $\left.g=10 m / s^{2}\right)$

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Answer: (2)

Solution:

$a=\frac{10}{3} m / s^{2}$

$30-T _1=3 \times a$

$T _1=20 N$

strain $=\frac{\text { stress }}{Y}$

$=2 \times 10^{-4}$