The cat righting reflex is a cat's innate ability to orient itself as it falls in...

The

cat righting reflex

is a cat's innate ability to orient itself as it falls in order to land on its feet. The

righting reflex begins to appear at 3

–4 weeks of age, and is perfected at 7 weeks. The minimum height

required for this to occur in most cats would be around 30 cm.

You are part of an engineering team trying to reproduce this in a mechanical cat. Your prototype, aptly

named Katt, when dropped motionless, upside down from 2.5 m, can right itself before it hits the ground

by rotating its “tail”. Katt’s body is a solid cy

linder 30 cm in length and 15 cm in diameter, with a mass of

3.0 kg. Attached to the center of one end of the body is Katt's tail, a 20

-cm long rod which extends out

perpendicular to Katt's body and has only 10% the mass of the body. The tail will rotate due to a s

mall

electric motor in the body that produces a constant torque. In order to order the piece, determine the

angular speeds it will need to deal with.

Expert Solution

genius_generous answered 1 year ago

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