1
AIPMT 2012 Mains
+4
-1
A circular platform is mounted on a frictionless vertical axle. Its radius R = 2 m and its moment of inertia about the axle is 200 kg m2. It is initially at rest. A 50 kg man stands on the edge of the platform and begins to walk along the edge at the speed of 1 ms$$-$$1 relative to the ground. Time taken by the man to complete one revolution is
A
$$\pi$$ s
B
$${{3\pi } \over 2}$$ s
C
2$$\pi$$ s
D
$${\pi \over 2}$$ s
2
AIPMT 2012 Mains
+4
-1
A car of mass m is moving on a level circular track of radius R. If $$\mu$$s represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by
A
$$\sqrt {{\mu _s}mRg}$$
B
$$\sqrt {{{Rg} \over {{\mu _s}}}}$$
C
$$\sqrt {{{mRg} \over {{\mu _s}}}}$$
D
$$\sqrt {{\mu _s}Rg}$$
3
AIPMT 2012 Mains
+4
-1
The moment of inertia of a uniform circular disc is maximum about an axis perpendicular to the disc and passing through

A
B
B
C
C
D
D
A
4
AIPMT 2012 Prelims
+4
-1
When a mass is rotating in a plane about a fixed point, its angular momentum is directed along
A
a line perpendicular to the plane of rotation
B
the line making an angle of 45o to the plane of rotation
C