The system of eight small 5 kg objects is rotating at an angular speed of 9 rad/

Question

The system of eight small 5 kg objects is

rotating at an angular speed of 9 rad/s. The

objects are connected by light, flexible spokes

that can be lengthened or shortened.

What is the initial angular momentum of

the object?

Note: An effect similar to this ocurred

in the early stages of the formation of our

Galaxy. As the massive cloud of dust and gas

that was the source of the stars and planets

contracted, an initially small angular speed

increased with time.

Answer in units of kgm2/s.

What is the new angular speed if the spokes

are shortened from 9 m to 3 m?

Answer in units of rad/s.

What is the new angular momentum of the

object?

Answer in units of kgm2/s.

Thank You for putting your time into solving this

Explanation / Answer

I (one mass) = m R2 I (8 objects at radius R) = 8 mR2       I1 1 = I22     conservation of angularmomentum 2 = (I1 / I2)1 = (R1 / R2)2 1 = (9 / 3)2 * 9 = 81/ sec I2 = 40 kg * 9 m2 *81 / sec = 29160 kg m2 / sec Should be the same as the original angular momentum I1 = 5 * 8 * 92 *9= 29160

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