1
AIPMT 2004
+4
-1
Three particles, each of mass m gram, are situated at the vertices of an equilateral triangle ABC of side $$l$$ cm (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC, in gram-cm2 units will be

A
$${3 \over 4}$$m$$l$$2
B
2m$$l$$2
C
$${5 \over 4}$$m$$l$$2
D
$${3 \over 2}$$m$$l$$2
2
AIPMT 2004
+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
3
AIPMT 2004
+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
$${{\left( {{I_1} + {I_2}} \right)\omega } \over {{I_1}}}$$
4
AIPMT 2004
+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
$$1:\sqrt 2$$
EXAM MAP
Medical
NEET