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Can mass of a body be taken concentrated...

Can mass of a body be taken concentrated at its centre of mass for the purpose of calculating its rotational inertia ?

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The mass of a body cannot be considered to be concentrated at the centre of mass of the body for the purpose of computing its moment of inertia. For then the moment of inertia of every body about an axis passing through its centre of mass would be zero.

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For the purpose of calculation of moment of inertia, a body's mass can be thought to be concentrated at its centre of mass. Moment of intertia is a measure of how the mass is distributed abou a certain axis.

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A semicircular lamina of mass m and radius 'r' and centre C . Its center of mass is at a distance 'x' from C . Its moment of inertia about an axis through its center of mass and perpendicular to its plane is:

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SL ARORA-System of particles & rotational Motion-EXERCISE
  1. Can mass of a body be taken concentrated at its centre of mass for the...

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  2. Two bodies of masses 1 kg and 2 kg are located at (1,2) and (-1,3), r...

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  3. The distance between the centres of carbon and oxygen atoms in the car...

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  4. Three blocks of uniform thickness and masses m, m and 2m are placed at...

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  5. Find the centre of mass of three particle at the vertices of an equila...

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  6. A gridstone has a constant acceleration of 4 rad s^-1. Starting from r...

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  7. The speed of a motor increases from 600 rpm to 1200 rpm in 20 s. What ...

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  8. On the application of a constant torque, a wheel is turned from rest t...

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  9. The motor of an engine is erotating about its axis with an angular vel...

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  10. A car is moving at a speed of 72 kmh^(-1). The diameter of its wheel i...

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  11. A wheel starting from rest via rotating with a constant angular veloci...

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  12. Determine the angular momentum of a car of mass 1500 kg moving in a ci...

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  13. Mass of an electron is 9.0xx10^(-31) kg. It revolves around the nucleu...

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  14. Find the moment fo inertia of the hydrogen molecules about an axis pas...

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  15. Three particles each of mass 100 g are placed at the vertices of an eq...

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  16. Four point masses of 20 g each are placed at the corners of a square A...

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  17. The point masses of 0.3 kg, 0.2 kg and 0.1 kg are placed at the corner...

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  18. Three particles of masses 0.50 kg, 1.0 kg and 1.5 kg are placed at the...

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  19. Three particles, each of mass m are situated at the vertices of an equ...

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  20. Four particles each of mass m are kept at the four corners of a square...

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  21. What is the moment of inertia of a ring of mass 2kg and radius 50 cm a...

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