Initial Angular Momentum (J-s)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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A closed system consists of 4 objects. The table below shows how much angular momentum (magnitude & direction) each object had to start and, with the exception of object D, how much angular momentum each object had at the end. Determine how much angular momentum object D had at the end.

|              | Object A | Object B | Object C | Object D |
|--------------|----------|----------|----------|----------|
| **Initial Angular Momentum (J·s)** | 199      | 139      | 193      | 157      |
| **Initial Direction**           | west     | east     | west     | west     |
| **Final Angular Momentum (J·s)** | 162      | 183      | 165      | 178      |
| **Final Direction**             | east     | west     | west     | west     |

In the table above:
- The initial and final angular momentum values are given in Joule-seconds (J·s).
- Directions indicate the initial and final orientations of momentum, using cardinal directions (east, west).
- For Object D, there is an entry field indicating the final angular momentum as 178 J·s with a direction of west.
Transcribed Image Text:A closed system consists of 4 objects. The table below shows how much angular momentum (magnitude & direction) each object had to start and, with the exception of object D, how much angular momentum each object had at the end. Determine how much angular momentum object D had at the end. | | Object A | Object B | Object C | Object D | |--------------|----------|----------|----------|----------| | **Initial Angular Momentum (J·s)** | 199 | 139 | 193 | 157 | | **Initial Direction** | west | east | west | west | | **Final Angular Momentum (J·s)** | 162 | 183 | 165 | 178 | | **Final Direction** | east | west | west | west | In the table above: - The initial and final angular momentum values are given in Joule-seconds (J·s). - Directions indicate the initial and final orientations of momentum, using cardinal directions (east, west). - For Object D, there is an entry field indicating the final angular momentum as 178 J·s with a direction of west.
Expert Solution
Step 1

The angular momentum of a rigid object is the product of its moment of inertia and its angular velocity. If there is no external torque on the object, it has linear momentum and is subject to the conservation of angular momentum principle's fundamental constraints. A vector quantity is referred to as "angular momentum." It can be calculated using the expression for angular momentum of a particle.

In a closed system, angular momentum is conserved in a similar fashion as linear momentum.

Angular momentum is a vector quantity. Its not only the magnitude for which we have to be concern about but direction also.

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