Concept explainers
Figure 11-23 shows three particles of the same mass and the same constant speed moving as indicated by the velocity vectors. Points a, b, c, and d form a square, with point e at the center. Rank the points according to the magnitude of the net
Figure 11-23 Question 1.
To find:
Ranking the points according to the magnitude of the net angular momentum of the three-particle system.
Answer to Problem 1Q
Solution:
Ranking of magnitude of net angular momentum is
Explanation of Solution
1) Concept:
We can use the concept of angular momentum to find the net angular momentum about each point given.
2) Formulae:
3) Given:
Three masses and their velocity vectors are given.
4) Calculations:
Angular momentum about any point is,
We can write magnitude as,
Where,
So, we can write
The angular momentum is positive for counter clockwise direction and negative for clockwise direction.
Calculation for net angular momentum about point a:
Let
Calculation for net angular momentum about point b:
Calculation for net angular momentum about point c:
Calculation for net angular momentum about point d:
Calculation for net angular momentum about point e:
Ranking of magnitude of angular momentum is:
Conclusion:
We can rank magnitude of net angular momentum using angular momentum concept. We can write equation for each point given at corners of the square.
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Chapter 11 Solutions
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