Saturday, November 24, 2018

rotational dynamics - Acceleration of body rolling down inclined plane


Acceleration of a body rolling down an inclined plane is given by:


$$\frac{g\sin\theta}{1+\frac{k^2}{r^2}}$$



$g$=acceleration due to gravity


$\theta$=angle of inclined plane


$k$=radius of gyration


$r$=radius of abject


How come acceleration is independent of coefficient of friction of plane when friction itself is causing the torque? I am not able to understand this although I am able to derive the formula on my own.




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