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A cylinder of mass m and radius r rolls without slipping on a concave cylinder surface of radius R. find the natural frequency of oscillations.
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written 4.9 years ago by
bhaveshkumarn.pasi
• 500
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$\rightarrow$ $Arc \ CP = Arc CP$
$R \ \theta = r \ \phi$
$\therefore$ $\phi = \frac{R \ \theta}{r}$
$\rightarrow$ Translatory displacement of center of cylinder = $(R – r) \theta$
$\rightarrow$ Total rotational displacement of cylinder = $\phi = 0$ = Relative displacement.
$\rightarrow$ $KE = (KE)_{Translational} + …
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