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

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)

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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

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

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

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

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

AP EAPCET 2021 - 19th August Morning Shift

MCQ (Single Correct Answer)

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Which of the following type of wheels of same mass and radius will have largest moment of inertia?

Ring

Angular disc

Solid disc

Cylindrical disc

AP EAPCET Subjects