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Chapter 1: Q21DQ (page 228)

A particle is in neutral equilibriumif the net force on it is zero and remains zero if the particle is displaced slightly in any direction. Sketch the potential energy function near a point of neutral equilibrium for the case of one-dimensional motion. Give an example of an object in neutral equilibrium.

Short Answer

Expert verified

  • The potential energy function, near the point of neutral equilibrium is shown in the graph below-

.

  • An example of neutral equilibrium can be a ball at rest, lying on the ground.

Step by step solution

01

Significance of the neutral equilibrium

The neutral equilibrium is described as the state where the net force exerted on a particle is equal to zero. Moreover, in neutral equilibrium, the net force on the particle remains zero, if slight change in the position of the body from its equilibrium position.

02

Determination of the sketch of the potential energy function along with the example

The graph of the potential energy function has been drawn below:

For an object to be in the neutral equilibrium the energy is needed to be constant or the potential energy change is needed to be zero for small displacements in space.

An example of this type of equilibrium is a ball that is lying on the ground and is stationary at a point.

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