A uniform slender rod of length L, cross-sectional area A and Young's modulus Y is acted upon by the forces shown in the figure. The elongation of the rod is

Question

A uniform slender rod of length L, cross-sectional area A and Young's modulus Y is acted upon by the forces shown in the figure. The elongation of the rod is (A) (3 F L/5 A Y) (B) (2 F L/5 F Y) (C) (3 F L/8 A Y) (D) (8 F L/3 A Y)

Tardigrade Admin · Accepted Answer

Net elongation of the rod is<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/27969b8e7772f507511e715e8b78a1aa-.png" /> l=(3 F((2 L/3))/A Y)+(2 F((L/3))/A Y) l=(8 F L/3 A Y)

Q. A uniform slender rod of length $L$ , cross-sectional area $A$ and Young's modulus $Y$ is acted upon by the forces shown in the figure. The elongation of the rod is

$\frac{3 F L}{5 A Y}$

$\frac{2 F L}{5 F Y}$

$\frac{3 F L}{8 A Y}$

$\frac{8 F L}{3 A Y}$

Net elongation of the rod is
$l = \frac{3 F ( \frac{2 L}{3} )}{A Y} + \frac{2 F ( \frac{L}{3} )}{A Y}$
$l = \frac{8 F L}{3 A Y}$

Q. A uniform slender rod of length L, cross-sectional area A and Young's modulus Y is acted upon by the forces shown in the figure. The elongation of the rod is

5AY3FL​

5FY2FL​

8AY3FL​

3AY8FL​