Question
A solid sphere, disc and solid cylinder all of the same mass and made of the same material are allowed to roll down (from rest) on the inclined plane, then ....

Answer

For solid sphere, $\frac{K^{2}}{R^{2}}=\frac{2}{5}$

For disc and solid cylinder, $\frac{K^{2}}{R^{2}}=\frac{1}{2}$

As $\frac{K^{2}}{R^{2}}$ for solid sphere is smallest, it takes minimum time to reach the bottom of the incline, disc and cylinder reach together later.

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