First slide

Rolling motion

Question

A solid sphere of mass M and radius R is placed on a rough horizontal surface. It is pulled by a horizontal force F acting through its centre of mass as a result of which it begins to roll without slipping. Angular acceleration of the sphere can be expressed as:

NA

Solution

By taking torque about O
$FR = (\frac{2}{5} {MR}^{2} + {MR}^{2}) α \Rightarrow α = \frac{5 F}{7 MR}$

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