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A 10.0 kg uniform, a disk-shaped wooden door (radius 0.500 m) hangs vertically and can rotate...

A 10.0 kg uniform, a disk-shaped wooden door (radius 0.500 m) hangs vertically and can rotate freely about an axis that passes through its rim. A 0.020-kg bullet shot horizontally with a speed of 375 m/s, hits, and embeds itself in the door at a point diametrically opposed to the pivot point of the door.

What is the angular speed of the door after the collision? (You can neglect the mass of the bullet after the collision.)

After the collision, the door is set in small-amplitude oscillation. What is the angular frequency of the oscillation of the door?

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