Two uniform solid spheres having unequal masses and unequal radii are released from rest from the same height on a rough incline. If the spheres roll without slipping, ___________ .

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KollegeApply · Accepted Answer

the two spheres reach the bottom together Acceleration of a sphere on the incline plane is given by a = \frac{g\sin$\theta$}{1 + \frac{I_{COM}}{m r^2}} I_{COM} for a solid sphere = $\frac{2}{5}$m r^2 So, a = \frac{g\sin$\theta$}{1 + 2m r^$\frac{2}{5}$m r^2} = $\frac{5}{7}$g\sin$\theta$ a is independent of mass and radii; therefore, the two spheres reach the bottom together.

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