MHT CET 2024 15th May Morning Shift | Rotational Motion Question 6 | Physics

A thin uniform metal rod of mass ' $M$ ' and length ' $L$ ' is swinging about a horizontal axis passing through its end. Its maximum angular velocity is ' $\omega$ '. Its centre of mass rises to a maximum height of ( $\mathrm{g}=$ Acceleration due to gravity)

$\frac{\mathrm{L}^2 \omega^2}{3 \mathrm{~g}}$

$\frac{\mathrm{L}^2 \omega^2}{2 \mathrm{~g}}$

$\frac{\mathrm{L}^2 \omega^2}{6 \mathrm{~g}}$

$\frac{\mathrm{L}^2 \omega^2}{4 \mathrm{~g}}$

MHT CET 2024 15th May Morning Shift

MCQ (Single Correct Answer)

-0

Three thin rods, each of mass ' $M$ ' and length ' $L$ ' are placed along $\mathrm{X}, \mathrm{Y}$ and Z axes which are mutually perpendicular. One end of each rod is at origin. M. I. of the system about Z axis is

$\frac{3 \mathrm{ML}^2}{4}$

$\frac{2 M^2}{5}$

$\frac{2 \mathrm{ML}^2}{3}$

$\frac{3 \mathrm{ML}^2}{5}$

MHT CET 2024 15th May Morning Shift

MCQ (Single Correct Answer)

-0

If the angular velocity of a body rotating about the given axis increases by $20 \%$, then its kinetic energy of rotation will increase by

$20 \%$

$30 \%$

$44 \%$

$66 \%$

MHT CET 2024 11th May Evening Shift

MCQ (Single Correct Answer)

-0

Four thin metal rods each of mass ' $M$ ' and length ' $L$ ', are welded end to end to form a square. The moment of inertia of the system about an axis passing through the centre of the square and perpendicular to its plane is

$\frac{\mathrm{ML}^2}{3}$

$\frac{2 \mathrm{ML}^2}{3}$

$\frac{2 \mathrm{ML}^2}{9}$

$\frac{4 \mathrm{ML}^2}{3}$

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