Answered: Please answer and explain. 1. A…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Conservation Of Energy

Section: Chapter Questions

Problem 34P

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Please answer and explain.

1. A uniform disk with moment of inertia at the center of mass, I1, is rotating with an initial angular speed ω1 about a frictionless shaft through its center. Another disk of moment of inertia at the center of mass, I2, is dropped from rest on top of the first disk through the same shaft. Give the angular speed of the composite two-disk system assuming that the collision is perfectly inelastic.

2. Is the total energy of the rotating disk conserved in the experiment? Justify your answer using the data in Table W4.

3. In the collision of disks, the system is not isolated because of the existence of friction. How is it possible that conservation of angular momentum is still valid to a relatively good accuracy?

Verification of conservation of energy
Table W4: Data for verification of conservation of energy
Trial
Ki (J)
Kf (J)
AEmech (J)
W friction (J)
% Error
1
0.139
0.0939
0.0451
-0.0447
0.887% =
0.9%
0.175
0.1343
0.0406
-0.0405
0.246% =
0.2%
3.
0.125
0.0945
0.0302
-0.0300
1.99%- 2%
Average percent error
1.03% 1%

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