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A thin-walled tube of mass m and radius ...


A thin-walled tube of mass m and radius R has a rod of mass m and vry small cross section soldered on its inner surface. The side-view of the arrangement is as shown in the following figure. The entire arrangement is placed on a rough horizontal surface. The system is given a small angular displacement from its equilibrium position, as a result, the system performs oscillations. The time period of resulting oscillations if the tube rolls without slipping is

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