The linear mass density | RIGID BODY DYNAMICS |JEE-Main 2020

JEE MAIN 2020

06-09-2020 S2

Question

The linear mass density of a thin rod $A B$ of length $L$ varies from $A$ to $B$ as $$ \lambda(x)=\lambda_0\left(1+\frac{x}{L}\right) $$ , where x is the distance from $A$. If $M$ is the mass of the rod then its moment of inertia about an axis passing through A and perpendicular to the rod is

Select the correct option:

$\frac{2}{5} \mathrm{ML}^2$

$\frac{5}{12} \mathrm{ML}^2$

$\frac{3}{7} M L^2$

$\frac{7}{18} \mathrm{ML}^2$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution