MHT CET 2025 25th April Morning Shift | Rotational Motion Question 14 | Physics

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 17 English

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

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

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

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

MHT CET 2025 22nd April Evening Shift

MCQ (Single Correct Answer)

-0

A solid cylinder of mass ' $M$ ' and radius ' $R$ ' is rotating about its geometrical axis. A solid sphere of same mass and same radius is also rotating about its diameter with an angular speed half that of the cylinder. The ratio of the kinetic energy of rotation of the sphere to that of the cylinder will be

$2: 3$

$3: 2$

$1: 5$

$5: 1$

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