JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion
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, angular acceleration of the cylinder is
- A \(\frac{{3F}}{{2mR}}\)
- B \(\frac{{F}}{{3mR}}\)
- C \(\frac{{F}}{{2mR}}\)
- D \(\frac{{2F}}{{3mR}}\)
Answer & Solution
Correct Answer
(D) \(\frac{{2F}}{{3mR}}\)
Step-by-step Solution
Detailed explanation
\(F -f = ma\) \(fR = \frac{1}{2}\,m{R^2}\alpha \) \(a = \alpha R\) \(\alpha=\frac{{2F}}{{3mR}}\)
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