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A uniform rod of mass m is supported on ...

A uniform rod of mass `m` is supported on two rollers each of mass `m//2` and radius `r` and rolls down the inclined rough plane as shown in the figure. Assuming no slipping at any contanct and treating the rollers as uniform solid cylinders:

If the incline is smooth and rod still does not slip on roller, then acceleration of rollers is:

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