1
AIPMT 2011 Prelims
MCQ (Single Correct Answer)
+4
-1
The instantaneous angular position of a point on a rotating wheel is given by the equation $$\theta \left( t \right) = 2{t^3} - 6{t^2}$$

The torque on the wheel becomes zero at
A
t = 1 s
B
t = 0.5 s
C
t = 0.25 s
D
t = 2 s
2
AIPMT 2010 Mains
MCQ (Single Correct Answer)
+4
-1
From a circular disc of radius R and mass 9M, a small disc of mass M and radius $${R \over 3}$$ is removed concentrically. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through its centre is
A
$${{40} \over 9}$$ MR2
B
MR2
C
4MR2
D
$${4 \over 9}$$ MR2
3
AIPMT 2010 Mains
MCQ (Single Correct Answer)
+4
-1
A solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on an inclined plane. Both roll down without slipping. Which one will reach the bottom first?
A
Both together only when angle of inclination of plane is 45o
B
Both together
C
Hollow cylinder
D
Solid cylinder
4
AIPMT 2010 Mains
MCQ (Single Correct Answer)
+4
-1
A thin circular ring of mass M and radius r is rotating about its axis with constant angular velocity $$\omega $$. Two objects each of msass m are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with angular velocity given by
A
$${{\left( {M + 2m} \right)\omega } \over {2m}}$$
B
$${{2M\omega } \over {M + 2m}}$$
C
$${{\left( {M + 2m} \right)\omega } \over M}$$
D
$${{M\omega } \over {M + 2m}}$$
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