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Show that a cylinder will slip on an inc...

Show that a cylinder will slip on an inclined plane if the coefficient of static friction between the plane and the cylinder is less than `1/3tantheta` where `theta` is the angle of the inclination with the horizontal.

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NN GHOSH-ROTATIONAL DYNAMICS, MOMENT OF INERTIA-Exercises
  1. Show that a cylinder will slip on an inclined plane if the coefficient...

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  2. A sphere of mass 10 kg and diameter 10 cm rolls without slipping with ...

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  3. Calculate the moment of inertia of a cylinder of length 1.5 m, radius ...

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  4. A uniform rod rotates in a horizontal plane about an axis perpendicula...

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  5. A sphere starting from rest rolls for 5.3s without slipping along a pl...

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  6. A couple of 10 Nm is applied to a flywheel of mass 10 kg and radius 50...

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  7. If the earth suddenly contracted to half of its present radius without...

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  8. A ring, a disc and a sphere all of the same radius and mass roll down ...

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  9. A flywheel of mass 5 kg and radius 10 cm rolls down a plane inclined a...

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  10. Two point masses m(1) and m(2) are joined by a weightless rod of lengt...

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  11. A thin uniform rod AB of mass m and length l is hinged at one end to t...

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  12. A hoop of radius 3m weighs 150 kg. It rolls along a horizontal floor s...

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  13. A sphere rolls up an inclined plane whose inclination is 30^(@). At th...

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  14. A student sits on a stool that is free to rotate about a vertical axis...

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  15. A solid sphere of 1kg reaches the bottom of an inclined plane after ro...

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  16. A thin uniform rod of mass m and length l, pivoted freely at its base,...

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  17. What must be the relation between length and radius of a cylinder of g...

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  18. A circular disc is of mass M and radius r. From it a circualr piece is...

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  19. A string is wrapped around a cylinder of mass M and radius r. The stri...

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  20. A small sphere of mass m and radius r rolls without slipping on the in...

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  21. A billiard ball is struck by a cue when it starts moving with velocity...

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