AIPMT 2004 | Rotational Motion Question 75 | Physics

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

AIPMT 2004 Physics - Rotational Motion Question 38 English

AIPMT 2004 Physics - Rotational Motion Question 38 English

$${3 \over 4}$$m$$l$$²

2m$$l$$²

$${5 \over 4}$$m$$l$$²

$${3 \over 2}$$m$$l$$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

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

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

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

$$\sqrt {2gl} $$

AIPMT 2003

MCQ (Single Correct Answer)

-1

A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. What is the speed of its centre of mass when the cylinder reaches its bottom ?

$$\sqrt {2gh} $$

$$\sqrt {{3 \over 4}gh} $$

$$\sqrt {{4 \over 3}gh} $$

$$\sqrt {4gh} $$

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