| 1 The axis is $R/\sqrt{2}$ away from the center | 0.50 |
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2
The moment of inertia of the ball \[ I = \frac{2}{5} mR^2\] |
0.20 |
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3
The moment of inertia of the ball around the axis \[ I = \frac{2}{5} mR^2 + \frac{mR^2}{2}\] |
0.30 |
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4
The law of conservation of energy: \[ mgh = \frac{I \omega ^2}{2} \] |
0.50 |
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5
Constraint is written: \[ v = \frac{\omega R}{\sqrt{2}}\] |
0.40 |
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6
The duration of flight: \[ t = \sqrt{\frac{2H}{g}}\] |
0.40 |
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7
Horizontal motion equation: \[ x = vt\] |
0.20 |
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| 8 \[x = \sqrt{\frac{20}{9}hH}\] | 0.50 |
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