The vertical limbs of a U shaped tube are filled with a liquid of density - upto a height h on each side- The horizontal portion of the U tube having length 2h contains a liquid of density 2 - The U tube is moved horizontally with an accelerator g-2 parallel to the horizontal arm- Find the difference in heights in liquid levels in the two vertical limbs- at steady state-

A solid sphere of radius R has moment of inertia #160; I about its diameter. It is melted into a disc of radius r and thickness t. If the moment of inertia ab ...

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Standard XII

Physics

Perpendicular Axis Theorem

The vertical ...

Question

The vertical limbs of a U shaped tube are filled with a liquid of density $ρ$ upto a height $h$ on each side. The horizontal portion of the U tube having length $2 h$ contains a liquid of density 2 $ρ$ . The U tube is moved horizontally with an accelerator $g / 2$ parallel to the horizontal arm. Find the difference in heights in liquid levels in the two vertical limbs, at steady state.

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Solution

A solid sphere of radius R has moment of inertia I about its diameter. It is melted into a disc of radius r and thickness t. If the moment of inertia about the tangential axis (perpendicular to the plane) is equal to I, then the value of t is nR

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