1
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

A
$\frac{1}{48} M L^2$
B
$\frac{1}{12} M L^2$
C
$\frac{1}{24} M L^2$
D
$\frac{1}{8 \sqrt{3}} M L^2$
2
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-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
A
$\sqrt{\frac{3 g \sin \alpha}{2 L}}$
B
$\sqrt{\frac{2 L}{3 g \sin \alpha}}$
C
$\sqrt{\frac{6 g \sin \alpha}{L}}$
D
$\sqrt{\frac{L}{g \sin \alpha}}$
3
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-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
A
$\sqrt{\frac{g h}{2}}$
B
$\sqrt{\frac{3 g h}{2}}$
C
$\sqrt{2 g h}$
D
$\sqrt{\frac{4 g h}{3}}$
4
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-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
A
$\frac{m l^2}{4}$
B
$m l^2$
C
$\frac{3}{4} m l^2$
D
$\frac{2}{3} m l^2$
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