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Three thin, uniform, indentical rods eac...

Three thin, uniform, indentical rods each or mass `M` and length `L` are joined as shown. Find the `M.I.` about an axis passing through `O` and perpendicular to the plane.

Text Solution

Verified by Experts

We know, for rod, `M.I.` of rod about an axis passing through an end and `bot^(ar)` to length is `ML^(2)//3`. Apply this formula directly.

`I_(0)=I_(1)+I_(2)+I_(3)=(ML^(2))/(3)xx3=ML^(2)`
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CP SINGH-ROTATIONAL MOTION-Exercise
  1. Three thin, uniform, indentical rods each or mass M and length L are j...

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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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