
Figure 7.14 shows force vectors at different points in space for two forces. Which is conservative and which nonconservative? Explain.
FIGURE 7.14 For Thought and Discussion 1; Problem 30

To determine and explain: which is conservative and non-conservative forces with given figures.
Answer to Problem 1FTD
Figure (a) follows the conservative force system.
Figure (b) follows the non-conservative force system.
Explanation of Solution
Refer to the Figure 7.14 (a) in the question.
The magnitude of force in the force vectors at different points in space is equal. This statement gives information that it’s present in closed path.
Therefore, the given force of vectors follows the conservative force system.
Refer to the Figure 7.14 (b) in the question.
The magnitude of force vectors at different points in space is unequal and the magnitude of magnitude of force varying from place to place and point to point. Due to some external force these changes may occur. The non-conservative force definition states that due to some frictional force the force will act opposite to the motion.
Therefore, the given force of vectors follows the non-conservative force system.
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