Asked by Sally
The end of a pencil of mass m and length L rests in a corner as the pencil makes an angle θ with the horizontal (x) direction (see the figure). If the pencil is released, it will rotate about point O with an acceleration α1. Suppose the length of the pencil is increased by a factor of 4 but its mass is kept the same; the pencil would then have an angular acceleration α2 when released. Find the ratio of α1/α2.