Exercises of Mechanics E-Book

Simone Malacrida

• Herausgeber: Simone Malacrida
• Kategorie: Wissenschaft und neue Technologien
• Sprache: Englisch

Veröffentlichungsjahr: 2022

Beschreibung

In this book, exercises are carried out regarding the following physics topics:
kinematics of the point and systems
statics and dynamics of the point, systems, and rigid bodies
classical theory of gravitation
mechanical oscillatory phenomena
classical fluid dynamics

Leseprobe

Table of Contents

“Exercises of Mechanics”

INTRODUCTION

KINEMATICS

STATIC AND DYNAMIC

GRAVITATION

OSCILLATORY PHENOMENA

FLUID DYNAMICS

“Exercises of Mechanics”

SIMONE MALACRIDA

In this book, exercises are carried out regarding the following physics topics:

kinematics of the point and systems

statics and dynamics of the point, systems, and rigid bodies

classical theory of gravitation

mechanical oscillatory phenomena

classical fluid dynamics

Simone Malacrida (1977)

Engineer and writer, has worked on research, finance, energy policy and industrial plants.

ANALYTICAL INDEX

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INTRODUCTION

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I – KINEMATICS

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

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II – STATIC AND DYNAMIC

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Exercise 13

Exercise 14

Exercise 15

Exercises or 16

Exercise 17

Exercise 19

Exercise 19

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III - GRAVITATION

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

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IV - OSCILLATORY PHENOMENA

Exercise 1

Exercise 2

Exercise 3

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V - FLUID DYNAMICS

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

INTRODUCTION

In this workbook some exemplifying problems about classical mechanics are carried out, in all its aspects from kinematics to dynamics up to fluid dynamics.

The way of tackling the resolution of the exercises follows what is generally done at university level in the courses of General Physics I and Rational Mechanics, as well as in some courses of Fluid Dynamics.

For this reason, the workbook is aimed only at those who already have an advanced understanding of both university-level mathematical analysis problems and the physical theories necessary to understand the proposed exercises.

I

KINEMATICS

Exercise 1

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The acceleration of a point P moving along the x axis is:

The point has a given initial velocity.

Study the function v(x).

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Recalling that:

We have:

Based on the value of the initial speed, there are three cases:

Case a occurs if:

Case b if:

Case c if:

Exercise 2

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A point moves as follows:

Determine the trajectory and study the trend of speed, acceleration and radius of curvature.

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We eliminate the parameter t:

From which:

The trajectory is a conic.

By making this change of coordinates:

We have:

Therefore it is a parabola with the axis coinciding with the bisector of the I and III quadrant:

For the speed we have:

So:

For acceleration:

From which: