AP EAPCET 2024 - 22th May Morning Shift | Rotational Motion Question 5 | Physics

The moment of inetia of a rod about an axis passing through its centre and perpendicular to its length is $\frac{1}{12} M L^2$, where $M$ is the mass and $L$ is the length of the rod. The rod is bent in the middle, so that the two halves make an angle of $60^{\circ}$. The moment of inertia of the bent rod about the same axis would be

$\frac{1}{48} M L^2$

$\frac{1}{12} M L^2$

$\frac{1}{24} M L^2$

$\frac{1}{8 \sqrt{3}} M L^2$

AP EAPCET 2024 - 22th May Morning Shift

MCQ (Single Correct Answer)

-0

A uniform rod of length $2 L$ is placed with one end in contact with the earth and is then inclined at an angle $\alpha$ to the horizontal and allowed to fall without slipping at contact point. When it becomes horizontal, its angular velocity will be

$\sqrt{\frac{3 g \sin \alpha}{2 L}}$

$\sqrt{\frac{2 L}{3 g \sin \alpha}}$

$\sqrt{\frac{6 g \sin \alpha}{L}}$

$\sqrt{\frac{L}{g \sin \alpha}}$

AP EAPCET 2024 - 21th May Evening Shift

MCQ (Single Correct Answer)

-0

A solid cylinder rolls down on an inclined plane of height $h$ and inclination $\theta$. The speed of the cylinder at the bottom is

$\sqrt{\frac{g h}{2}}$

$\sqrt{\frac{3 g h}{2}}$

$\sqrt{2 g h}$

$\sqrt{\frac{4 g h}{3}}$

AP EAPCET 2024 - 21th May Evening Shift

MCQ (Single Correct Answer)

-0

Three particles of each mass $m$ are kept at the three vertices of an equilateral triangle of side $l$. The moment of inertia of a system of the particles about any side of the triangle is

$\frac{m l^2}{4}$

$m l^2$

$\frac{3}{4} m l^2$

$\frac{2}{3} m l^2$

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