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Let I(1) and I(2) be the moment of inert...


Let `I_(1)` and `I_(2)` be the moment of inertia of a uniform square plate about axes shown in the figure. Then the ratio `I_(1):I_(2)` is

A

`1:(1)/(7)`

B

`1:(12)/(7)`

C

`1:(7)/(12)`

D

`1:7`

Text Solution

Verified by Experts

The correct Answer is:
D
`I_(1)=(ma^(2))/(12)`
`I_(2)=I_(1)+mr^(2)`
`=(ma^(2))/(12)+(ma^(2))/(2)`
`=(7)/(12)ma^(2)`
`thereforeI_(1):I_(2)=1:7`
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DC PANDEY-ROTATIONAL MECHANICS-Level 1 Objective
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  6. A solid sphere rolls without slipping on a rough horizontal floor, mov...

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  7. Ler l be the moment of inertia of a uniform square plate about an axi...

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  8. A spool is pulled horizontally on rough surface by two equal and oppos...

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  9. Two identical discs are positioned on a vertical axis as shown in the ...

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  10. The moment of inertia of hollow sphere (mass M) of inner radius R and ...

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  11. A rod of uniform cross-section of mass M and length L is hinged about ...

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  12. Let I(1) and I(2) be the moment of inertia of a uniform square plate a...

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  13. Moment of inertia of a uniform rod of length L and mass M, about an ax...

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  14. A uniform rod of legth L is free to rotate in a vertica plane about a ...

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  15. Two partcles of masses 1 kg and 2 kg are placed at a distance of 3 m. ...

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  16. Find moment of inertia of a thin sheet of mass M in the shape of an eq...

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  17. A square is made by joining four rods each of mass M and length L. Its...

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  18. A thin rod of length 4l, mass 4 m is bent at the point as shown in the...

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  19. The figure shows two cones A and B with the conditions h(A)lth(B),rho(...

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  20. Linear mass density of the two rods system, AC and CD is x. moment of ...

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