The equation of motion that describes the given system is to be stated. Concept introduction: Newton’s law of motion gives the relation between the forces acting on a system and the motion of the system. The Lagrangian function is the formulation of the classical mechanics . According to mechanics, the Lagrangian function is the difference of kinetic energy and potential energy which is expressed as functions of positions and velocity.

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Chapter 9, Problem 9.4E

(a)

Interpretation Introduction

Interpretation:

The equation of motion that describes the given system is to be stated.

Concept introduction:

Newton’s law of motion gives the relation between the forces acting on a system and the motion of the system.

The Lagrangian function is the formulation of the classical mechanics. According to mechanics, the Lagrangian function is the difference of kinetic energy and potential energy which is expressed as functions of positions and velocity.

(b)

Interpretation Introduction

Interpretation:

The equation of motion describing the given system is to be stated.

Concept introduction:

Newton’s law of motion gives the relation between the forces acting on a system and the motion of the system.

The Lagrangian function is the formulation of the classical mechanics. According to mechanics, the Lagrangian function is the difference of kinetic energy and potential energy which is expressed as functions of positions and velocity.

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