$L =\frac{2}{5} M^2 \frac{V_{\text {com }}}{R} \quad K=\frac{1}{2}\left(\frac{2}{5} M R^2\right) \frac{V_{\text {com }}^2}{ R ^2}+\frac{1}{2} M V_{\text {com }}^2$
$L =\frac{2 MRV _{\text {com }}}{5} \quad K =\frac{7}{10} MV _{\text {com }}^2$
$\text { Ratio } \frac{ L }{ K }=\frac{4}{7} \frac{ R }{ V _{\text {com }}}=\frac{\pi}{22}$
$\Rightarrow \omega=\frac{4}{7} \times \frac{22}{22} \times 7=4$
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| Colum $I$ | Colum $II$ |
| $(A)$ $\frac{dv}{dt}$ | $(p)$ Acceleration |
| $(B)$ $\frac{d|v|}{dt}$ | $(q)$ Magnitude of acceleration |
| $(C)$ $\frac{dr}{dt}$ | $(r)$ Velocity |
| $(D)$ $\left|\frac{d r }{d t}\right|$ | $(s)$ Magnitude of velocity |
