1
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

Consider a disc of radius $$R$$ and mass $$M$$. A hole of radius $$\frac{R}{3}$$ is created in the disc, such that the centre of the hole is $$\frac{R}{3}$$ away from centre of the disc. The moment of inertia of the system along the axis perpendicular to the disc passing through the centre of the disc is

A
$$\frac{M R^2}{2}$$
B
$$\frac{13}{27} M R^2$$
C
$$\frac{1}{3} M R^2$$
D
$$4 M R^2$$
2
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

A sphere and a hollow cylinder without slipping, roll down two separate inclined planes A and B, respectively. They cover same distance in a given duration. If the angle of inclination of plane A is 30$$^\circ$$, then the angle of inclination of plane B must be (approximately)

A
60$$^\circ$$
B
53$$^\circ$$
C
45$$^\circ$$
D
37$$^\circ$$
3
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

Four spheres each of diameter $$2 a$$ and mass $$m$$ are placed in a way that their centers lie on the four corners of a square of side $$b$$. Moment of inertia of the system about an axis along one of the sides of the square is

A
$$\frac{8}{5} m a^2$$
B
$$\frac{4}{5} m a^2+5 m b^2$$
C
$$\frac{4}{5} m a^2+2 m b^2$$
D
$$\frac{8}{5} m a^2+2 m b^2$$
4
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

If an energy of 684 J is needed to increase the speed of a flywheel from 180 rpm to 360 rpm, then find its moment of inertia.

A
0.7 kg/m$$^2$$
B
1.28 kg/m$$^2$$
C
2.75 kg/m$$^2$$
D
7.28 kg/m$$^2$$
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