**Rough Rolled**

**A 11.0 kg cylinder rolls without slipping on a rough surface. At an instant when its center of gravity has a s?**

A 11.0 kg cylinder rolls without slipping on a rough surface. At an instant when its center of gravity has a speed of 10.0 m/s.

(a) Determine the translational kinetic energy of its center of gravity.

_____ J

(b) Determine the rotational kinetic energy about its center of gravity.

_____ J

(c) Determine its total kinetic energy

_____J

Translational KE = .5*m*(v^2)

.5*11*(10^2) = 550

Rotational KE = 1/2*I*(w^2)

Total KE = tKE + rKE

.5*m*(v^2) + .5*I*(w^2)

.5*m*(v^2) + .5*(.5*m*r^2)*(v/r)^2 ….r^2 cancels out…

.5*m*(v^2) + .25*m*(v^2)

550 + .25*11*(10^2)

550 + 275 ….rKE = 275

Total KE = 825

**Rough seas large waves batter coastline**

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