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.

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