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From a disc of radius r(1), a concentric...

From a disc of radius `r_(1)`, a concentric disc of radius `r_(2)` is removed . The mass of the remaining portion is `m`. Find the `M.I.` of the remaining about an axis passing through the center of mass and perpendicular to the plane.

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To find the moment of inertia (M.I.) of the remaining portion of the disc about an axis passing through the center of mass and perpendicular to the plane, we can follow these steps: ### Step 1: Define the Masses Let: - \( m_A \) = mass of the original disc of radius \( r_1 \) - \( m_B \) = mass of the removed concentric disc of radius \( r_2 \) - \( m \) = mass of the remaining portion, which is given. ...
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CP SINGH-ROTATIONAL MOTION-Exercise
  1. From a disc of radius r(1), a concentric disc of radius r(2) is remove...

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  2. Three point masses, each of mass m, are placed at the corners of an eq...

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  3. The moment of inertia of a disc of mass M and radius R about an axis. ...

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  4. Let I(A) and I(B) be moments of inertia of a body about two axes A and...

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  5. A closed cylindrica tube containing some water (not filling the entire...

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  6. A uniform cylinder has radius R and length L. If the moment of inertia...

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  7. A solid sphere of mass M, radius R and having moment of inertia about ...

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  8. Two circular discs are of same thickness. The diameter of A is twice t...

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  9. The moment of inertia of a circular disc of mass M and radius R about ...

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  10. From a uniform wire, two circular loops are made (i) P of radius r and...

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  11. The moment of inertia of a uniform rod about a perpendicular axis pass...

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  12. The density of a rod AB increases linearly from A to B its midpoint is...

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  13. The M.I. of a rod about an axis through its center and perpendicular t...

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  14. The moment of inertia of a thin uniform rod of mass M and length L abo...

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  15. Three rings, each of mass m and radius r, are so placed that they touc...

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  16. Two rings A (2m,R) and B (m,R) are placed such that these are perpendi...

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  17. If I(0) is the moment of inertia body about an axis passing through it...

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  18. A rod of length L is made of a uniform length L//2 of mass M(1) and a ...

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  19. Four spheres each of mass M and diameter 2r, are placed with their cen...

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  20. The ratio of the radii of gyration of a circular disc about a tangenti...

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  21. One quarter sector is cut from a uniform circular disc of radius R. Th...

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