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  • A HOMOGENOUS SOLID CYLLINDRICAL ROLLER OF RADIUS R AND MASS M IS PULLED ON A CRICKET PITCH BY A HORIZONTAL FORCE ASSUMING ROLLING WITHOUT

A homogeneous solid cylindrical roller of radius R and mass M is pulled on a cricket pitch by a horizontal force. Assuming rolling without slipping, the angular acceleration of the cylinder is?

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\\\text{In case of pure Rolling }a_{c m}=R \alpha\\\\ \text{Writing equation about point 'p'}\\\\ \text{we get } \Rightarrow \mathrm{FR}=\left(\frac{\mathrm{mR}^{2}}{2}+\mathrm{mR}^{2}\right) \cdot \alpha\\\\ \alpha=\frac{2}{3} \frac{F}{m R}

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