Question

The objects listed below are placed at the top of a ramp, and roll down to the bottom without slipping Assuming that there is no air resistance, rank them in order from fastest average rolling speed to slowest.

Answer 1

The momnet of inertia of the hoop is,

$$ I_{h o 0 p}=m R^{2} $$

The momnet of inertia of the bowling ball is,

$$ I_{\text {sowing } \operatorname{gal}}=\frac{2}{5} m R^{2} $$

The momnet of inertia of the penny is,

$$ I_{\text {yenyy }}=\frac{1}{2} m R^{2} $$

The momnet of inertia of the hollow globe is,

$$ I_{\text {houlowglade }}=\frac{2}{3} m R^{2} $$

The acceleration of the object when it is moving from inclined path is indirectly proportional to the mom ent of inertia. If all the objects are having same mass and moving with the same linear speed, then from the above calculations, the rolling speed is order from fasstest to slowest is.

bowling ball \(>\) penny \(>\) hollow globe \(>\) hula hoop