A uniform semicircular disc of radius R and mass $m$ is released on a horizontal smooth surface from the position as shown in figure. Then after release which of the following is/are correct:

maximum kinetic energy of disc is mg

(\frac{4 R}{3 π})

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when disc will have maximum K.E. till that time centre of disc displaces by a distance

\frac{4 R}{3 π}

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When disc will have maximum K.E. till that time centre of mass of disc displaces by a distance of

\frac{4 R}{3 π}

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When disc will have maximum K.E. till that time point

P

displaces by a distance less than

< \sqrt{2} R

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Solution

The correct options are
A maximum kinetic energy of disc is mg $(\frac{4 R}{3 π})$
C When disc will have maximum K.E. till that time centre of mass of disc displaces by a distance of $\frac{4 R}{3 π}$

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