Question

Question: Answered & Verified by Expert

A thin bar of length $\mathrm{L}$ has a mass per unit length $\lambda$, that increases linearly with distance from one end. If its total mass is $M$ and its mass per unit length at the lighter end is $\lambda_{\mathrm{O}}$, then the distance of the centre of mass from the lighter end is:

PhysicsRotational MotionJEE MainJEE Main 2014 (11 Apr Online)

Options:

A
$\frac{\mathrm{L}}{2}-\frac{\lambda_0 \mathrm{~L}^2}{4 \mathrm{M}}$
B
$\frac{\mathrm{L}}{3}+\frac{\lambda_0 \mathrm{~L}^2}{8 \mathrm{M}}$
C
$\frac{\mathrm{L}}{3}+\frac{\lambda_0 \mathrm{~L}^2}{4 \mathrm{M}}$
D
$\frac{2 \mathrm{~L}}{3}-\frac{\lambda_0 \mathrm{~L}^2}{6 \mathrm{M}}$

Search any question & find its solution

Looking for more such questions to practice?