A circular disc is to be made by using iron a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The moment of inertia $I$ of a body about an axis is given by $I = \int r^2 dm$,where $dm$ is the mass element at a distance $r$ from the axis.To

Vedclass · Accepted Answer

Aluminium at the interior and iron surrounding it

Vedclass · Answer

(B) The moment of inertia $I$ of a body about an axis is given by $I = \int r^2 dm$,where $dm$ is the mass element at a distance $r$ from the axis.To maximize the moment of inertia for a fixed total mass and radius,we need to place as much mass as possible at the largest possible distance $r$ from the axis.Since iron has a higher density than aluminium,placing iron at the outer periphery (surrounding the interior) increases the mass distribution at larger radii.Therefore,placing aluminium at the interior and iron at the exterior (surrounding it) results in a higher moment of inertia compared to other configurations.Thus,option $B$ is correct.

$A$ circular disc is to be made by using iron and aluminium,so that it acquires maximum moment of inertia about its geometrical axis. This is possible with:

Similar Questions

The moment of inertia of a sphere of mass $M$ and radius $R$ about an axis passing through its centre is $\frac{2}{5} M R^2$. The radius of gyration of the sphere about a parallel axis to the above and tangent to the sphere is

Calculate the moment of inertia of the system of particles shown in the figure about the axis of rotation $XX'$.

$A$ body of mass $m$ and radius of gyration $K$ has an angular momentum $L$. Then its angular velocity is

If a spherical planet of mass $M$ and radius $R$ suddenly shrinks to half its size,and its mass reduces to half,what is the new moment of inertia of the planet about its diameter?

$A$ thin rod of total length $4l$ and total mass $4M$ is bent into the shape shown in the figure. Each segment has length $l$ and mass $M$. What is the moment of inertia of the rod about the axis passing through point $O$ and perpendicular to the plane of the paper?

Vedclass Test Series

Exam Paper Generator

Online Exam Module