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A thin rod of length L is vertically str...

A thin rod of length `L` is vertically straight on horizontal floor. This rod falls freely to one side without slipping of its bottom. The linear velocity of centre of rod when its top end touches floor is

A

`sqrt(2gL)`

B

`sqrt((3gL)/2)`

C

`sqrt(3gL)`

D

`sqrt((3gL)/4)`

Text Solution

Verified by Experts

The correct Answer is:
D

`omega = sqrt((3g)/L) , v = r omega and r = L/2 `
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NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - II (C.W)
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  6. A particle of mass 1 kg is moving alogn the line y=x+2 with speed 2m//...

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  7. A smooth uniform rod of length L and mass M has two identical beads ...

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  9. A constant torque of 1000 N-m turns a wheel of moment of inertia 200 k...

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  10. If the angular momentum of a rotating body about an axis is increased ...

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  11. The angular frequency of a fan of moment of inertia 0.1kgm^2 is increa...

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  12. A sphere of mass m and radius r rolls on a horizontal plane without sl...

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  13. A circular ring starts rolling down on an inclined plane from its top....

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  14. A thin rod of length L is vertically straight on horizontal floor. Thi...

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  15. A wheel of radius 'r' rolls without slipping with a speed v on a ho...

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  16. A solid cylinder of mass m rolls without slipping down an inclined pla...

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  17. A metal disc of radius R and mass M freely rolls down from the top of ...

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  18. A hollow sphere rolls on a horozontal surface without slipping. Then ...

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  19. A disc is rolling the velocity of its centre of mass is V"cm" then whi...

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  20. A tangential force F acts at the top of a thin spherical shell of ...

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