AP EAPCET 2021 - 20th August Morning Shift | Rotational Motion Question 5 | Physics

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

$$\frac{8}{5} m a^2$$

$$\frac{4}{5} m a^2+5 m b^2$$

$$\frac{4}{5} m a^2+2 m b^2$$

$$\frac{8}{5} m a^2+2 m b^2$$

AP EAPCET 2021 - 20th August Morning Shift

MCQ (Single Correct Answer)

-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.

0.7 kg/m$$^2$$

1.28 kg/m$$^2$$

2.75 kg/m$$^2$$

7.28 kg/m$$^2$$

AP EAPCET 2021 - 19th August Evening Shift

MCQ (Single Correct Answer)

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A sphere of mass m is attached to a spring of spring constant k and is held in unstretched position over an inclined plane as shown in the figure. After letting the sphere go, find the maximum length by which the spring extends, given the sphere only rolls.

AP EAPCET 2021 - 19th August Evening Shift Physics - Rotational Motion Question 7 English

$$\frac{2 m g \sin \theta}{k}$$

$$\frac{k}{2 m g \sin \theta}$$

$$\frac{2 \sin \theta}{k m g}$$

$$\frac{2 m g \cos \theta}{k}$$

AP EAPCET 2021 - 19th August Evening Shift

MCQ (Single Correct Answer)

-0

A girl of mass M stands on the rim of a frictionless merry-go-round of radius R and rotational inertia I, that is not moving. She throws a rock of mass m horizontally in a direction that is tangent to the outer edge of the merry-go-round. The speed of the rock, relative to the ground is v. Afterwards, the linear speed of the girl is

$$\frac{m v R^2}{I+M R^2}$$

$$\frac{(m+M) v R^2}{I+M R^2}$$

$$\frac{m v R^2}{I+(M+m) R^2}$$

$$\frac{m v R^2}{I+(M-m) R^2}$$

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