What are you going to learn?

Content

Be able to produce a mathematical description of movement in 1, 2, and 3 dimensions. Transform positions, velocities, and accelerations from one coordinate system to another system in relative motion with respect to the first one. Identify a basic set of forces, their origin, and their points of application in specific problems. Identify and isolate bodies and pictorially represent the direction and location of forces acting on the bodies. Compute the position of the center of mass and moment of inertia for different basic shapes in simple conditions. Apply the Laws of Newton to quantitative predict linear and rotational movement. Apply conservation laws to quantitative describe linear and rotational movement. Solve problems of statics. Identify systems undergoing Simple Harmonic Motion, describe the movement and computte their frequencies of oscillation.

Chapter 1. Introduction

• What is Physics?

• Matter Structure

• Physics Relation with other Sciences

• The Scientific Method

• Measurements and Measurements Units

• Preliminary Concepts

• Concurrent Forces in the Plane

• Parallel Coplanar Forces

• General Case of Coplanar Forces

• Forces in 3D

Chapter 2. Statics

Chapter 3. Kinematics – Material Points

• Position and Velocity Vectors

• Acceleration Vector

• Rectilinear Motion

• 2D Motion: Projectile Motion, Circular Motion

• 3D Motion

• Relative Velocity

Chapter 4. Dynamics – Material Points

• Introducton

• Newton’s First Law

• Newton’s Second Law

• Mass and Weght

• Newton’s Third Law

Chapter 5. Applications of Newton’s Laws

• Circular Motion

• Projectile Motion

Chapter 6. Work and Mechanical Energy

• Work

• Kinetic Energy and the Work – Energy Theorem

• Work and Energy with Varying Forces

• Power

Chapter 7. Potential Energy and Mechanical Energy Conservation

• Gravitational Potential Energy

• Elastic Potential Energy

• Conservative and Nonconservative Forces

• Force and Potential Energy

• Energy Diagrams

Chapter 8. Momentum, Impulse, and Collisions

• Momentum and Impulse

• Conservation of Momentum

• Collisions

• Center of Mass

• Rocket Propulsion

Chapter 9. Kinematics – Rigid Body

• Rigid Body Translation

• Angular Velocity and Acceleration

• Rigid Body Rotation

• Energy in Rotational Motion

• Parallel Axis Theorem

• Moment of Inertia

Chapter 10. Dynamics – Rigid Body

• Torque

• Torque and Angular Acceleration of a Rigid Body

• Rigid Body Rotation about a Moving Axis

• Work and Power in Rotational Motion

• Angular Momentum

• Conservation of Angular Momentum

• Gyroscopes and Precession

Chapter 11. Periodic Motion

• Oscillations

• Simple Harmonic Motion

• Energy in Simple Harmonic Motion

• The Simple Pendulum

• The Physical Pendulum

• Damped Oscillations

• Forced Oscillation and Resonance

Chapter 12. Mechanical Waves

• Types of Mechanical Waves

• Periodic Waves

• Mathematcal Description of Waves

• Speed of Tranverse Waves

• Waves Energy

• Waves Interference, Boundary Condition and Superposition

• Standing Waves on a String

• Normal Mode of a String

Bibliography

1. Finn, A. Fundamental University Physics Vol I Mechanics, Addison-Wesley, USA, 1967.

2. Young, H., and Freedman, R. University Physics with Modern Physics, 13th ed., Pearson, San Francisco, 2012.

3. Kiusalaas, J, Numerical Methods in Engineering with Python 3. Cambridge University Press, 2013.

4. Cutnell, John D., Keneth W. Johnson. Physics. 8th Edition,Wiley and Sons 2009.

5. Kleppner, D., and Robert J. Kolenkow. An Introduction to Mechanics. New York, NY: McGraw-Hill, 1973.

6. Symon, K, Mechanics. 3rd Edition, Addison-Wesley, 1971.Standing Waves on a String

7. Waker, J. Fundamentals of Physics Halliday & Resnick. Vol 1. 10th ed. New York, John Wiley, 2014.

8. Serway, R., and John W. Jewett. Physics for Scientist and Engineers. 6th ed. Thomson, Brooks/Cole, 2004

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