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A solid cylinder of mass m rolls without...

A solid cylinder of mass `m` rolls without slipping down an inclined plane making an angle `theta` with the horizontal. The frictional force between the cylinder and the incline is

A

`mg sin theta `

B

`(mg sin theta)/3`

C

`mg cos theta `

D

`(2mg sin theta)/3`

Text Solution

Verified by Experts

The correct Answer is:
B
` Ke_("rot") = 1/2 I omega^(2) = 1/2 ((MR^(2))/2) omega^(2) = (mv^(2))/4 `
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NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - II (C.W)
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  2. Thickness of a wooden circular plate is same as the thickness of a met...

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  3. A thin uniform circular disc of mass M and radius R is rotating in ...

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  4. A turn table is rotating in horizontal plane about its own axis at an ...

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  5. A uniform cylindrical rod of mass m and length L is rotating is pe...

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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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  8. An energy of 484 J is spent in increasing the speed of a flywheel from...

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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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