4. A playground merry-go-round has a diameter of 2.1 m and a mass of 90 kg. It can be treated as a disk which rotates about the center. A. Sketch the...
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4. A playground merry-go-round has a diameter of 2.1 m and a mass of 90 kg. It can be treated as a disk
which rotates about the center. A. Sketch the situation, label variables, and collect known quantities. B. What is the moment of inertia of the merry-go—round? C. If two 19 kg children are riding on the merry-go-round at the outer edge, what is the total moment of
inertia? D. What is the total moment of inertia if the children move to positions halfway to the center of the
merry—go-round?

5. Using the same merry-go-rouncl in problem 4, you now apply a 15 N force to the empty ride to get it
started moving. Assume the rotation point is frictionless.
A. Sketch the situation, label variables, and collect known quantities.
B. What is the angular acceleration?
C. After 3.6 seconds of applying the force, what is the angular velocity?
D. How far has the merry-go-round rotated after the 3.5 seconds the force was applied?

4(B). 49.61 kg-m2 4(C).... View the full answer

A
m= 90 kq
0
D = 2. 1 m = roding ( R ) = 221 m = 1.05
2.1 m
4
B
Moment of mentice (I) = 5 x 90 kg x (1- 05m)2
49 . 61 kam
O . New moment of ineven ( I' ) = 49. 61 kgm + 2x 19 kg x (1 - 05m)?
D
191...

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