1
AIPMT 2004
MCQ (Single Correct Answer)
+4
-1
A wheel having moment of inertia 2 kg m2 about its vertical axis, rotates at the rate of 60 rpm about this axis. The torque which can stop the wheel's rotation in one minute would be
A
$${{2\pi } \over {15}}$$ N m
B
$${\pi \over {12}}$$ N m
C
$${\pi \over {15}}$$ N m
D
$${\pi \over {18}}$$ N m
2
AIPMT 2004
MCQ (Single Correct Answer)
+4
-1
A round disc of moment of inertia $$I$$2 about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia $$I$$1 rotating with an angular velocity $$\omega $$ about the same axis. The final angular velocity of the combination of discs is
A
$${{{I_2}\omega } \over {{I_1} + {I_2}}}$$
B
$$\omega $$
C
$${{{I_1}\omega } \over {{I_1} + I{}_2}}$$
D
$${{\left( {{I_1} + {I_2}} \right)\omega } \over {{I_1}}}$$
3
AIPMT 2004
MCQ (Single Correct Answer)
+4
-1
The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axes in the plane of the ring is
A
2 : 3
B
2 : 1
C
$$\sqrt 5 :\sqrt 6 $$
D
$$1:\sqrt 2 $$
4
AIPMT 2003
MCQ (Single Correct Answer)
+4
-1
A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is K. If radius of the ball be R. then the fraction of total energy associated with its rotational energy will be
A
$${{{K^2} + {R^2}} \over {{R^2}}}$$
B
$${{{K^2}} \over {{R^2}}}$$
C
$${{{K^2}} \over {{K^2} + {R^2}}}$$
D
$${{{R^2}} \over {{K^2} + {R^2}}}$$
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