The moment of inertia of a uniform circular disc of radius R and mass M about an axis passing from the edge of the disc and normal to the disc is

MR²

$\frac{1}{2} {MR}^{2}$

$\frac{3}{2} {MR}^{2}$

$\frac{7}{2} {MR}^{2}$

Solution

$\frac{3}{2} {MR}^{2}$

The moment of inertia of circular disc about an axis through its centre and normal to its plane

I_CG $= \frac{1}{2} {MR}^{2}$

Where M is the mass of the disc and R its radius.

According to the theorem of parallel axis, the moment of inertia of the uniform circular disc about an axis passing from the edge of the disc and normal to the disc,

I = I_CG + MR²

= $\frac{1}{2} {MR}^{2} + {MR}^{2}$

I = $\frac{3}{2} {MR}^{2}$

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System Of Particles And Rotational Motion

The moment of inertia of a uniform circular disc of radius R and mass M about an axis passing from the edge of the disc and normal to the disc is

MR²

$\frac{1}{2} {MR}^{2}$

$\frac{3}{2} {MR}^{2}$

$\frac{7}{2} {MR}^{2}$

Some More Questions From System of Particles and Rotational Motion Chapter

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Four point masses, each of value m, are placed at the corners of a square ABCD of side A. The moment of inertia through A and parallel to BD is

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System Of Particles And Rotational Motion

The moment of inertia of a uniform circular disc of radius R and mass M about an axis passing from the edge of the disc and normal to the disc is MR2 12 MR2 32 MR2 72 MR2

Some More Questions From System of Particles and Rotational Motion Chapter

Angular momentum of the particle rotating with a central force is constant due to

Four point masses, each of value m, are placed at the corners of a square ABCD of side A. The moment of inertia through A and parallel to BD is

A wire elongates by

A ‘T’ shaped object with dimensions shown in the figure, is lying on a smooth floor. A force F is applied at the point P parallel to AB, such that the object has only the translational motion without rotation. Find the location of P with respect to C

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The moment of inertia of a uniform circular disc of radius R and mass M about an axis passing from the edge of the disc and normal to the disc is

MR²

$\frac{1}{2} {MR}^{2}$

$\frac{3}{2} {MR}^{2}$

$\frac{7}{2} {MR}^{2}$