1
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
Four point masses, each of value $$m,$$ are placed at the corners of a square $$ABCD$$ of side $$l$$. The moment of inertia of this system about an axis passing through $$A$$ and parallel to $$BD$$ is
A
$$2m{l^2}$$
B
$$\sqrt 3 m{l^2}$$
C
$$3m{l^2}$$
D
$$m{l^2}$$
2
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
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 $$\omega ' = $$
A
$${{\omega \left( {m + 2M} \right)} \over m}$$
B
$${{\omega \left( {m - 2M} \right)} \over {\left( {m + 2M} \right)}}$$
C
$${{\omega m} \over {\left( {m + M} \right)}}$$
D
$${{\omega m} \over {\left( {m + 2M} \right)}}$$
3
AIEEE 2006
MCQ (Single Correct Answer)
+4
-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 212 English
A
$$F\left( {\widehat i - \widehat j} \right)$$
B
$$ - F\left( {\widehat i + \widehat j} \right)$$
C
$$F\left( {\widehat i + \widehat j} \right)$$
D
$$ - F\left( {\widehat i - \widehat j} \right)$$
4
AIEEE 2005
MCQ (Single Correct Answer)
+4
-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
A
$${2 \over 5}M{r^2}$$
B
$${1 \over 4}Mr$$
C
$${1 \over 2}M{r^2}$$
D
$$M{r^2}$$
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