MHT CET 2025 25th April Morning Shift | Rotational Motion Question 8 | Physics

Two discs of moment of inertia ' $\mathrm{I}_1$ ' and ' $\mathrm{I}_2$ ' and angular speeds ' $\omega_1$ ' and ' $\omega_2$ ' are rotating along the collinear axes passing through their centre of mass and perpendicular to their plane. If the two discs are made to rotate together along the same axis. The rotational kinetic energy of the system will be

$\frac{I_1 \omega_1+I_2 \omega_2}{2\left(I_1+I_2\right)^2}$

$\frac{\left(I_1 \omega_1-I_2 \omega_2\right)^2}{2\left(I_1+I_2\right)}$

$\quad \frac{\left(I_1 \omega_1+I_2 \omega_2\right)^2}{2\left(I_1-I_2\right)}$

$\frac{\left(I_1 \omega_1+I_2 \omega_2\right)^2}{2\left(I_1+I_2\right)}$

MHT CET 2025 25th April Morning Shift

MCQ (Single Correct Answer)

-0

Four particles each of mass M are placed at the corners of a square of side L . The radius of gyration of the system about an axis perpendicular to the square and passing through its centre is

$\frac{\mathrm{L}}{2}$

$\frac{\mathrm{L}}{\sqrt{2}}$

$\quad 2 \mathrm{~L}$

$\frac{\mathrm{L}}{4}$

MHT CET 2025 23rd April Evening Shift

MCQ (Single Correct Answer)

-0

What is the linear velocity if angular velocity $\vec{\omega}=3 \hat{i}-4 \hat{j}+\hat{k}$ and radius $\vec{r}=(5 \hat{i}-6 \hat{j}+6 \hat{k})$ ?

$(-30 \hat{\mathrm{i}}-13 \hat{\mathrm{j}}-38 \hat{\mathrm{k}})$

$(8 \hat{\mathrm{i}}-10 \hat{\mathrm{j}}+7 \hat{\mathrm{k}})$

$\quad(-18 \hat{\mathrm{i}}-13 \hat{\mathrm{j}}+2 \hat{\mathrm{k}})$

$(-2 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}-5 \hat{\mathrm{k}})$

MHT CET 2025 22nd April Evening Shift

MCQ (Single Correct Answer)

-0

A thin metal wire of length ' L ' and mass ' M ' is bent to form semicircular ring as shown. The moment of inertia about $\mathrm{XX}^{\prime}$ is

MHT CET 2025 22nd April Evening Shift Physics - Rotational Motion Question 12 English

$\frac{\mathrm{ML}^2}{4 \pi^2}$

$\frac{2 M L^2}{\pi^2}$

$\frac{\mathrm{ML}^2}{2 \pi^2}$

$\frac{\mathrm{ML}^2}{\pi^2}$

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