AIPMT 2004 | Rotational Motion Question 67 | Physics

AIPMT 2004

MCQ (Single Correct Answer)

-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

$${{{I_2}\omega } \over {{I_1} + {I_2}}}$$

$$\omega $$

$${{{I_1}\omega } \over {{I_1} + I{}_2}}$$

$${{\left( {{I_1} + {I_2}} \right)\omega } \over {{I_1}}}$$

AIPMT 2004

MCQ (Single Correct Answer)

-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

2 : 3

2 : 1

$$\sqrt 5 :\sqrt 6 $$

$$1:\sqrt 2 $$

AIPMT 2003

MCQ (Single Correct Answer)

-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

$${{{K^2} + {R^2}} \over {{R^2}}}$$

$${{{K^2}} \over {{R^2}}}$$

$${{{K^2}} \over {{K^2} + {R^2}}}$$

$${{{R^2}} \over {{K^2} + {R^2}}}$$

AIPMT 2003

MCQ (Single Correct Answer)

-1

A stone is tied to a string of length $$l$$ and is whirled in a vertical circle with the other end of the string as the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of the change in velocity as it reaches a position where the string is horizontal (g being acceleration due to gravity) is

$$\sqrt {2\left( {{\mu ^2} - gl} \right)} $$

$$\sqrt {{u^2} - gl} $$

$$u - \sqrt {{u^2} - 2gl} $$

$$\sqrt {2gl} $$

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