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JEE Main 2025 (Online) 8th April Evening Shift
Numerical
+4
-1
A thin solid disk of 1 kg is rotating along its diameter axis at the speed of 1800 rpm . By applying an external torque of $25 \pi ~\mathrm{Nm}$ for 40 s , the speed increases to 2100 rpm . The diameter of the disk is ___________ m.
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2
JEE Main 2025 (Online) 7th April Evening Shift
Numerical
+4
-1
M and R be the mass and radius of a disc. A small disc of radius $\mathrm{R} / 3$ is removed from the bigger disc as shown in figure. The moment of inertia of remaining part of bigger disc about an axis $A B$ passing through the centre $O$ and perpendicular to the plane of disc is $\frac{4}{x} \mathrm{MR}^2$. The value of $x$ is ____________. JEE Main 2025 (Online) 7th April Evening Shift Physics - Rotational Motion Question 6 English
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3
JEE Main 2025 (Online) 7th April Morning Shift
Numerical
+4
-1

$\mathrm{A}, \mathrm{B}$ and C are disc, solid sphere and spherical shell respectively with same radii and masses. These masses are placed as shown in figure.

JEE Main 2025 (Online) 7th April Morning Shift Physics - Rotational Motion Question 7 English

The moment of inertia of the given system about PQ axis is $\frac{x}{15} \mathrm{I}$, where I is the moment of inertia of the disc about its diameter. The value of $x$ is ____________.

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4
JEE Main 2025 (Online) 4th April Evening Shift
Numerical
+4
-1

A solid sphere with uniform density and radius $R$ is rotating initially with constant angular velocity $\left(\omega_1\right)$ about its diameter. After some time during the rotation its starts loosing mass at a uniform rate, with no change in its shape. The angular velocity of the sphere when its radius become $\mathrm{R} / 2$ is $x \omega_1$. The value of $x$ is _________.

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