A uniform circular disc of radius R and mass M is rotating about… | JEE Main 2025 Physics PYQ

MCQMediumJEE Main 2025 · 22 January, Shift 1Moment of Inertia & Radius of Gyration

A uniform circular disc of radius $R$ and mass $M$ is rotating about an axis perpendicular to its plane and passing through its center. A small circular part of radius $R/2$ is removed from the original disc as shown in the figure. Find the moment of inertia of the remaining part of the original disc about the axis as given above.

A large circular disc with a smaller circular portion of radius R over 2 removed from the right side, tangent to the outer boundary, with both horizontal radii marked R.

A
$\frac{7}{32}MR^2$
B
$\frac{9}{32}MR^2$
C
$\frac{17}{32}MR^2$
D
$\frac{13}{32}MR^2$

Answer & step-by-step solution

Practice more Moment of Inertia & Radius of Gyration questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Moment of Inertia & Radius of Gyration

Answer & step-by-step solution

Practice more Moment of Inertia & Radius of Gyration questions

Related questions