Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

In the system shown below, a light cord is wrapped around the rim of a uniform flywheel of mass \( M = 20 \text{ kg} \) and radius \( R = 20 \text{ cm} \) (mounted on a frictionless horizontal axle). A steady force \( F = 25 \text{ N} \) pulls the cord vertically downwards. If the cord unwinds for a duration such that the wheel makes \( 5 \) complete revolutions from rest, the work done by the pull is:

1. A
   \( 50\pi \text{ J} \)
2. B
   \( 100\pi \text{ J} \)
3. C
   \( 25\pi \text{ J} \)
4. D
   \( 200\pi \text{ J} \)