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What is the moment of inertia of a circu...

What is the moment of inertia of a circular disc about one of its diameters ?

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To find the moment of inertia of a circular disc about one of its diameters, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Problem**: We need to find the moment of inertia (I) of a circular disc about one of its diameters. Let's denote the mass of the disc as \( m \) and its radius as \( r \). 2. **Use Known Moment of Inertia**: The moment of inertia of a circular disc about an axis perpendicular to its plane and passing through the center (let's call this the Z-axis) is given by: \[ ...
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NCERT ENGLISH-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-EXERCISE
  1. What is the moment of inertia of a circular disc about one of its diam...

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  2. Given the location of the centre of mass of a (i) sphere, (ii) cylinde...

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  3. In the HCI molecule, the separation between the nuclei of the two atom...

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  4. A child is standing at one end of a long trolley moving with a speed v...

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  5. Show that the area of the triangle contained between the vector overse...

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  6. Show that veca.(vecbxxvec c) is equal in magnitude to the volume of th...

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  7. Find the components along the x,y,z axes of the angular momentum overs...

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  8. Two particles each of mass m and speed v, travel in opposite direction...

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  9. A non-uniform bar weight W and length L is suspended by two strings of...

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  10. A car weighs 1800 kg. The distance between its front and back axles is...

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  11. (a) Find the moment of inertia of a sphere about a tangent to the sphe...

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  12. Torques of equal magnitude are applied to hollow cylinder and a solid ...

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  13. A solid cylinder of mass 20 kg rotates about its axis with angular spe...

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  14. A child stands at the centre of a turn table with his two arms outstre...

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  15. A rope of negligible mass is wound around a hollow cylinder of mass 3 ...

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  16. To maintain a rotor at a uniform angular speed of 200 "rad s"^(-1), an...

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  17. From a uniform disc of radius R, a circular section of radius R//2 is ...

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  18. A metre stick is balanced on a knife edge at its centre. When two coin...

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  19. A solid wooden sphere rolls down two different inclined planes of the ...

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  20. A hoop of radius 2 m weight 100 kg.It rolls along a horizontal floor s...

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  21. The oxygen molecule has a mass of 5.30 xx 10^(-26) kg and a moment of ...

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