# A marble of mass m and radius r rolls along the looped rough track of the figure. Ignore frictional losses....?

A marble of mass m and radius r rolls along the looped rough track of the figure. Ignore frictional losses.
a) What is the minimum value of the vertical height h that the marble must drop if it is to reach the highest point of the loop without leaving the track? Assume r << R.
b)What is the minimum...
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A marble of mass m and radius r rolls along the looped rough track of the figure. Ignore frictional losses.

a) What is the minimum value of the vertical height h that the marble must drop if it is to reach the highest point of the loop without leaving the track? Assume r << R.

b)What is the minimum value of the vertical height h that the marble must drop if it is to reach the highest point of the loop without leaving the track? Do not make assumption that r << R. Express your answer in terms of R and r.

a) What is the minimum value of the vertical height h that the marble must drop if it is to reach the highest point of the loop without leaving the track? Assume r << R.

b)What is the minimum value of the vertical height h that the marble must drop if it is to reach the highest point of the loop without leaving the track? Do not make assumption that r << R. Express your answer in terms of R and r.

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