Question

If a rope wound around a solid cylinder is allowed to unwind by holding the free end of the rope, then the acceleration with which the cylinder falls down is

• A. \(6.53\,\text{m s}^{-2}\)
• B. \(9.8\,\text{m s}^{-2}\)
• C. \(3.27\,\text{m s}^{-2}\)
• D. \(19.6\,\text{m s}^{-2}\)

Hint:

For a solid cylinder unwinding from a string, \[ \boxed{ a=\frac{2g}{3} } \] since \[ I=\frac12 mR^2. \]

Answer 1

The Correct Option is A