1
AIPMT 2006
MCQ (Single Correct Answer)
+4
-1
A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity $$\omega $$. The force exerted by the liquid at the other end is
A
$${{M{L^2}{\omega ^2}} \over 2}$$
B
$${{ML{\omega ^2}} \over 2}$$
C
$${{M{L^2}\omega } \over 2}$$
D
$$ML{\omega ^2}$$
2
AIPMT 2006
MCQ (Single Correct Answer)
+4
-1
The moment of inertia of a uniform circular disc of radius R and mass M about an axis touching the disc at its diameter and normal to the disc
A
$${1 \over 2}$$MR2
B
MR2
C
$${2 \over 5}M{R^2}$$
D
$${3 \over 2}M{R^2}$$
3
AIPMT 2006
MCQ (Single Correct Answer)
+4
-1
A uniform rod AB of length $$l$$ and mass m is free to rotate about point A. The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about A is ml2/3, the initial angular acceleration of the rod will be

A
$${{mgl} \over 2}$$
B
$${3 \over 2}gl$$
C
$${{3g} \over {2l}}$$
D
$${{2g} \over {3l}}$$
4
AIPMT 2005
MCQ (Single Correct Answer)
+4
-1
Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular velocity will be in the ratio
A
2 : 1
B
1 : 2
C
$$\sqrt 2 :1$$
D
$$1:\sqrt 2 $$
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