In the figure shown, the light thread is tightly wrapped on the cylinder and masses of plank and cylinder are same each equal to `m`. An external agent begins to pull the plank to the right with a constant force F. The friction between the plank and the cylinder is large enough to prevent slipping. Assume that the length of the plank is quite large and the cylinder does not fall off it for the time duration concerned. (a) Find the acceleration of the cylinder. (Hint : don’t write any equations) (b) Find the kinetic energy of the system after time `t`.

In the figure shown, the light thread is tightly wrapped on the cylind

1.	In the figure shown, the light thread is tightly wrapped on the cylinder and masses of plank and cylinder are same each equal to `m`. An external agent begins to pull the plank to the right with a constant force F. The friction between the plank and the cylinder is large enough to prevent slipping. Assume that the length of the plank is quite large and the cylinder does not fall off it for the time duration concerned. (a) Find the acceleration of the cylinder. (Hint : don’t write any equations) (b) Find the kinetic energy of the system after time `t`.
Answer» Correct Answer - (a) Zero (b) `(F^(2) t^(2))/(3m)`

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