Consider a rope of mass M and length L rotating on top of a table in a horizontal
plane. One of the ends of the rope is fixed and does not move. The rope moves in a circle with angular frequency w. What is the kinetic energy of the rope?

Question

Consider a rope of mass M and length L rotating on top of a table in a horizontal
plane. One of the ends of the rope is fixed and does not move. The rope moves in a circle with angular frequency w. What is the kinetic energy of the rope?

irishboy123 · Answer

you an integrate and do a whole load of things but simplest is $\frac{1}{2}I \omega^2$ with I taken about the end of the rope that is fixed

just treat it as a rod.