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A thin rod of mass 6 m and length 6L is ...

A thin rod of mass `6 m` and length `6L` is bent into regular hexagon. The `M.I.` of the hexagon about a normal axis to plane and through centre of system is

A

`mL^(2)`

B

`3mL^(2)`

C

`5mL^(2)`

D

`1 1mL^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C

`I_("rod") = (ml^(2))/(12) + m ((sqrt(3))/2l)^(2) , I_("system") = 6I_("rod")`
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NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - II (H.W)
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  2. The moment of inertia of a solid cylinder about its natural axis is I....

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  3. A thin rod of mass 6 m and length 6L is bent into regular hexagon. The...

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  4. Three solid spheres each of mass P and radius Q are arranged as ...

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  5. Three point masses m(1),m(2),m(3) are placed at three corners of an ...

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  6. A circular disc of radius R and thickness R//6 has moment of inertia I...

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  7. Three rods each of mass m and length L are joined to form an equila...

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  8. Four thin uniform rods each of length L and mass m are joined to fo...

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  9. Find moment of inertia of half disc of radius R(2) and mass M abou...

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  10. Two circular loops A and B are made of the same wire and their radii a...

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  11. A circular disc is rotating without friction about its natural axis wi...

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  12. A ballot dancer is rotating about his own vertical axis on smooth hori...

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  13. A uniform metal rod of length L and mass M is rotating about an axis p...

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  14. A ball of mass 1 kg is projected with a velocity of 20sqrt(2) m/s ...

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  15. A uniform sphere of mass m , radius r and moment of inertia I ab...

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  16. When 200 J of work is done on a fly wheel its frequency of rotation in...

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  17. A fly wheel of M.I. 6xx10^(-2) kgm^(2) is rotating with an angular vel...

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  18. If the kinetic energy of a rotating body about an axis is decreased by...

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  19. The moment of inertia of a wheel of radius 20 cm is 40 kgm^(2) if a ta...

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  20. An initial momentum is imparted to a homogenous cylinder, as a results...

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