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A small cylinder rolling with a velocity v along a horizontal surface encounters a smooth inclined surface. The height ‘h’ up to which the cylinder will ascend is
  • a)
    3v2/4g
  • b)
    v2/2g
  • c)
    3v2/2g
  • d)
    v2/4g
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A small cylinder rolling with a velocity v along a horizontal surface ...
A body can roll along a surface only if the surface is rough. The body will roll up to the foot of the inclined smooth surface. It will continue to spin with the angular speed it has acquired, and will slide up to a certain height, maintaining its spin motion throughout the smooth surface. Its translational kinetic energy alone is responsible for its upward motion along the smooth incline so that the height up to which it will rise is given by
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A small cylinder rolling with a velocity v along a horizontal surface ...
A body can roll along a surface only if the surface is rough. The body will roll up to the foot of the inclined smooth surface. It will continue to spin with the angular speed it has acquired, and will slide up to a certain height, maintaining its spin motion throughout the smooth surface. Its translational kinetic energy alone is responsible for its upward motion along the smooth incline so that the height up to which it will rise is given by 
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A small cylinder rolling with a velocity v along a horizontal surface ...
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