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Please explain in detail how you came to the answer, and what concepts you used

ID: 1369381 • Letter: P

Question

Please explain in detail how you came to the answer, and what concepts you used to come upon it.

1) A baby swing is rocking in the wind, and has an angular frequency =3rad/s. What would happen to the angular frequency if you placed a baby in the swing?

a) (baby) > empy b) (baby) = (empty)

c) (baby) < (empty d) not enough information

2) A large building in Oklahoma starts swaying wildly from side to side even during very small earthquakes. What can be done to lessen the amount of swaying?

a) Add a large mass to the top of the building

b) Add more supports to stifffen the building

c) Either A or B

d) Neither A nor B

Explanation / Answer

Here ,

1)

as the angular frequency is inversely proporational to moment of inertia .

when baby is placed , moment of inertia will increase

hence , the correct option is c) (baby) < (empty

2)

as for reducing the swaying the building ,

we can increase a intertia of bulding ,

stiffening the supports make cause them to break under stress

hence ,

a) Add a large mass to the top of the building