AIEEE 2006 | Rotational Motion Question 197 | Physics

A thin circular ring of mass $$m$$ and radius $$R$$ is rotating about its axis with a constant angular velocity $$\omega $$. Two objects each of mass $$M$$ are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity $$\omega ' = $$

$${{\omega \left( {m + 2M} \right)} \over m}$$

$${{\omega \left( {m - 2M} \right)} \over {\left( {m + 2M} \right)}}$$

$${{\omega m} \over {\left( {m + M} \right)}}$$

$${{\omega m} \over {\left( {m + 2M} \right)}}$$

AIEEE 2006

MCQ (Single Correct Answer)

-1

A force of $$ - F\widehat k$$ acts on $$O,$$ the origin of the coordinate system. The torque about the point $$(1, -1)$$ is AIEEE 2006 Physics - Rotational Motion Question 186 English

AIEEE 2006 Physics - Rotational Motion Question 186 English

$$F\left( {\widehat i - \widehat j} \right)$$

$$ - F\left( {\widehat i + \widehat j} \right)$$

$$F\left( {\widehat i + \widehat j} \right)$$

$$ - F\left( {\widehat i - \widehat j} \right)$$

AIEEE 2005

MCQ (Single Correct Answer)

-1

An annular ring with inner and outer radii $${R_1}$$ and $${R_2}$$ is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, $${{{F_1}} \over {{F_2}}}\,$$ is

$${\left( {{{{R_1}} \over {{R_2}}}} \right)^2}$$

$${{{{R_2}} \over {{R_1}}}}$$

$${{{{R_1}} \over {{R_2}}}}$$

$$1$$

AIEEE 2005

MCQ (Single Correct Answer)

-1

The moment of inertia of a uniform semicircular disc of mass $$M$$ and radius $$r$$ about a line perpendicular to the plane of the disc through the center is

$${2 \over 5}M{r^2}$$

$${1 \over 4}Mr$$

$${1 \over 2}M{r^2}$$

$$M{r^2}$$

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