A uniform cylinder of radius 12 cm and mass 25 kg is mounted so as to rotate freely about a horizontal axis that is parallel to and 6.6 cm from the central longitudinal axis of the cylinder.
If the cylinder is released from rest with its central longitudinal axis at the same height as the axis about which the cylinder rotates, what is the angular speed of the cylinder as it passes through its lowest position?
The Attempt at a Solution
I'm using conservation of energy..
1/2 Iw^2= mgh
1/4 (r^2)(w^2) = gh
Then, solve for w
And i got 13.40 rad/s
But the answer is not correct.
Can someone point out my mistake. Thank you.