A small \( \operatorname{disc} A \) slides down with initial velocity equal to zero from the top...

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A small \( \operatorname{disc} A \) slides down with initial velocity equal to zero from the top of a smooth hill of height \( H \) having a horizontal portion as shown in figure-4.139. What must be the height of the horizontal portion \( h \) to ensure the maximum distance \( s \) covered by the disc? What is it equal to?
Figure \( 4.139 \)
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