AIPMT 2006 | Rotational Motion Question 66 | Physics

A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity $$\omega $$. The force exerted by the liquid at the other end is

$${{M{L^2}{\omega ^2}} \over 2}$$

$${{ML{\omega ^2}} \over 2}$$

$${{M{L^2}\omega } \over 2}$$

$$ML{\omega ^2}$$

AIPMT 2006

MCQ (Single Correct Answer)

-1

The moment of inertia of a uniform circular disc of radius R and mass M about an axis touching the disc at its diameter and normal to the disc

$${1 \over 2}$$MR²

MR²

$${2 \over 5}M{R^2}$$

$${3 \over 2}M{R^2}$$

AIPMT 2006

MCQ (Single Correct Answer)

-1

A uniform rod AB of length $$l$$ and mass m is free to rotate about point A. The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about A is ml²/3, the initial angular acceleration of the rod will be

$${{mgl} \over 2}$$

$${3 \over 2}gl$$

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

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

AIPMT 2005

MCQ (Single Correct Answer)

-1

Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular velocity will be in the ratio

2 : 1

1 : 2

$$\sqrt 2 :1$$

$$1:\sqrt 2 $$

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