Solved: A marble moves along the x -axis. The

Chapter 7, Problem 38E

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QUESTION:

A marble moves along the \(x \text {-axis }\). The potential-energy function is shown in Fig. E7.38. (a) At which of the labeled x-coordinates is the force on the marble zero? (b) Which of the labeled x-coordinates is a position of stable equilibrium? (c) Which of the labeled x-coordinates is a position of unstable equilibrium?

Equation Transcription:

Text Transcription:

x-axis

Questions & Answers

QUESTION:

A marble moves along the \(x \text {-axis }\). The potential-energy function is shown in Fig. E7.38. (a) At which of the labeled x-coordinates is the force on the marble zero? (b) Which of the labeled x-coordinates is a position of stable equilibrium? (c) Which of the labeled x-coordinates is a position of unstable equilibrium?

Equation Transcription:

Text Transcription:

x-axis

ANSWER:

Solution 38E

Problem (a)

Step 1:

        To find the coordinates(x) where force on the marble is zero

Consider force on the marble is Fx to be zero, the slope of potential energy versus x must be zero. Points b and d are having zero slope value on the graph. Therefore value of force is zero where x coordinates are (b

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