1
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
If $$\overrightarrow F $$ is the force acting on a particle having position vector $$\overrightarrow r $$ and $$\overrightarrow \tau $$ be the torque of this force about the origin, then
A
$$\overrightarrow r .\overrightarrow \tau > 0$$  and  $$\overrightarrow F .\overrightarrow \tau < 0$$
B
$$\overrightarrow r .\overrightarrow \tau = 0$$  and  $$\overrightarrow F .\overrightarrow \tau = 0$$
C
$$\overrightarrow r .\overrightarrow \tau = 0$$  and  $$\overrightarrow F .\overrightarrow \tau \ne 0$$
D
$$\vec r.\vec \tau \ne 0$$  and  $$\overrightarrow F .\overrightarrow \tau = 0$$
2
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity $$\omega $$. If two objects each of mass m be attached gently to the opposite ends of a diameter of the ring, the ring will then rotate with an angular velocity
A
$${{\omega M} \over {M + 2m}}$$
B
$${{\omega \left( {M + 2m} \right)} \over M}$$
C
$${{\omega M} \over {M + m}}$$
D
$${{\omega \left( {M - 2m} \right)} \over {M + 2m}}$$
3
AIPMT 2008
MCQ (Single Correct Answer)
+4
-1
The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is
A
$$\sqrt 2 :1$$
B
$$\sqrt 2 :\sqrt 3 $$
C
$$\sqrt 3 :\sqrt 2 $$
D
$$1:\sqrt 2 $$
4
AIPMT 2008
MCQ (Single Correct Answer)
+4
-1
A thin rod of length L and mass M is bent at its midpoint into two halves so that the angle between them is 90o. The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is
A
$${{M{L^2}} \over 6}$$
B
$${{\sqrt 2 M{L^2}} \over {24}}$$
C
$${{M{L^2}} \over {24}}$$
D
$${{M{L^2}} \over {12}}$$
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