Question

Question in attached file

Answer 1

Here you are

Answer 2

Okay, here's the strategy:
1) We have to find angular velocity omega.
2) In order to do this, we need to analyze the force in each seat:

Answer 3

which type of T is it. I'm used to using Tcos(theta) or Tsin(theta)

Answer 4

As you can see, the only force contribute for centripetal force is T sin(16.5).

Answer 5

= mv^2 / r?

Answer 6

what about the diameter of center

Answer 7

correct,

Answer 8

You need to find T first,
T cos 16.5=mg

Answer 9

r is a little bit tricky here. It is the distance to center of rotation.

Answer 10

i am calculating it. r = 3.85 +

Answer 11

3.85 + 1.06 = r = 4.91

Answer 12

good,

Answer 13

so I solve for T and substitute?

Answer 14

in the y direction

Answer 15

Yes,

Answer 16

ah so I think I got it, it's just algebra from there

Answer 17

thank you very much!!!

Answer 18

Okay, good luck :)

Answer 19

for part 2, does it only change the mass? and I plug in to find T?

Answer 20

sorry last bit haha forgot about it

Answer 21

Yes, because the angle is the same, just change the mass.