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Chapter 1: Q17DQ (page 228)

Figure 7.22a shows the potential energy function for the force Fx=-Kx. Sketch the potential energy function for the force Fx=+Kx. For this force, is x=0a point of equilibrium? Is this equilibrium stable or unstable? Explain.

Short Answer

Expert verified

x=0is a point of equilibrium.

The equilibrium is unstable.

Step by step solution

01

Significance of the potential energy

Potential energy is described as the energy that an object possesses while at rest. It is also termed as the energy that is stored inside an object.

02

Sketching the potential energy function

The force kx=+kxhas been drawn below:


The potential energy function has been sketched below:

Thus,

03

Determination of the equilibrium point

According to the sketches, at the point x=0, the value of Fxwill also become zero.

Thus, x=0is a point of equilibrium.

04

Determination of the stability of the equilibrium

According to the sketches, at the point x=0, the value of the function of the potential energy Uxwill also become maximum. Hence, Fxwill get pushed away from the point of equilibrium.

Thus, the equilibrium is unstable.

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