$A$ solid cylinder has mass $M$,length $L$,and radius $R$. What is the moment of inertia of this cylinder about one of its generators?

  • A
    $M\left(\frac{L^2}{12} + \frac{R^2}{4}\right)$
  • B
    $\frac{ML^2}{4}$
  • C
    $\frac{1}{2}MR^2$
  • D
    $\frac{3}{2}MR^2$

Explore More

Similar Questions

For the given uniform square lamina $ABCD$,whose centre is $O$,

The moment of inertia of a solid sphere about its diameter is $I$. Two such spheres are arranged as shown in the figure. The moment of inertia of the system about axis $AB$ will be

$A$ square plate of mass $m$ and side $a$ has a moment of inertia about an axis perpendicular to its plane and passing through one of its corners equal to $\alpha \,ma^2$. Then $\alpha$ is:

Difficult
View Solution

Four holes of radius $R$ are cut from a thin square plate of side $4R$ and mass $M$. The moment of inertia of the remaining portion about the $z-$ axis is

Difficult
View Solution

The moment of inertia of a circular ring about an axis perpendicular to its plane and passing through its center is $200 \, gm \cdot cm^2$. The moment of inertia about its diameter is ....... $gm \cdot cm^2$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo