## Physics 118

### Engineering Mechanics

**Credits: **4

**Length of Course: **14 weeks

**Classroom Hours per Week: **4 hours lecture, 2 hours lab

**Prerequisite: **Mathematics 113 and Physics 110

**Text: **R.C. Hibbeler, *Engineering Mechanics*. 13th Edition. Pearson Prentice Hall 2013.

Chapters relevant to the above topics are 1-5, 7, 8, 12 - 15

### Course Description:

Equilibrium of a particle, equilibrium of a rigid body, internal forces, friction.

Kinematics of a particle, Newton’s second law, work, energy, impulse, and momentum.

### Course Outline:

Topic | Length | Description |
---|---|---|

1) Introduction | (1 lecture) | What is Mechanics? Fundamental concepts & principles, systems of units, conversion from one system of units to another, method of problem solution, numerical accuracy. |

2) Statics of Particles | (6 lectures) | Forces in a Plane: force on a particle, resultant of two forces, vectors, addition of vectors, resultant of several concurrent forces, resolution of a force into components, rectangular components of a force, unit vectors, addition of forces by summing x & y components, equilibrium of a particle, Newton's First Law of Motion, problems involving the equilibrium of a particle, free-body diagram. Forces in Space: rectangular components of a force in space, force defined by its magnitude & two points on its line of action, addition of concurrent forces in space, equilibrium of a particle in space. |

3) Rigid Bodies: Equivalent Systems of Forces | (4 lectures) | External & internal forces, principle of transmissibility, equivalent forces, vector product of two vectors, vector products expressed in terms of rectangular components, moment of a force about a point, Varignon's Theorem, rectangular components of a moment of a force, scalar product of three vectors, moment of a force about a given axis, moment of a couple, equivalent couples, addition of couples, couples may be represented by vectors, resolution of a given force into a force at 0 & a couple, reduction of a system of forces to one force & one couple, equivalent systems of forces, equipollent systems of vectors, further reduction of a system of forces. |

4) Equilibrium of Rigid Bodies | (4 lectures) | Free-Body Diagram. Equilibrium in Two Dimensions: reactions at supports & connections for a two-dimensional structure, equilibrium of a rigid body in two dimensions, statically indeterminate reactions, partial constraints, equilibrium of a two-force body, equilibrium of a three-force body. Equilibrium in Three Dimensions: reactions at supports & connections for a three-dimensional structure, equilibrium of a rigid body in three dimensions. |

5) Internal Forces | (5 lectures) | Shear and moment equations and diagrams. Cables. |

6) Friction | (4 lectures) | The laws of dry friction, coefficients of friction, angles of friction, problems involving dry friction, wedges. |

7) Kinematics of Particles | (8 lectures) | Introduction to Dynamics. Rectilinear Motion of Particles: position, velocity & acceleration, determination of the motion of a particle, uniform rectilinear motion, uniformly accelerated rectilinear motion, motion of several particles, motion of the mass center of a system of particles. Curvilinear motion of particles: position vector, velocity, & acceleration, derivations of vector functions, rectangular components of velocity & acceleration, motion relative to a frame in translation, tangential & normal components, radial & transverse components. |

8) Kinetics of Particles: Newton's Second Law | (10 lectures) | Newton's Second Law of Motion, linear momentum of a particle, rate of change of linear momentum, linear & angular momentum of a system of particles, systems of units, equations of motion, dynamic equilibrium, angular momentum of a particle, rate of change of angular momentum, angular momentum of a system of particles about its mass centre, moment of inertia concept, equations of motion in terms of radial & transverse components, motion under a central force, conservation of angular momentum, Newton's Law of Gravitation, trajectory of a particle under a central force, application to space mechanics, Kepler's Laws of Planetary Motion. |

9) Kinetics of Particles | (10 lectures) | Work of a force, kinetic energy of a particle, principle of work & energy, kinetic energy of a system of particles, applications of the principle of work & energy, work-energy principle, conservation of energy for a system of particles, power & efficiency, potential energy, conservative forces, conservation of energy, motion under a conservative central force, application to space mechanics, principle of impulse & momentum, principle of impulse & momentum for a system of particles, impulsive motion, impact, direct central impact, oblique central impact, problems involving energy & momentum. |

### Evaluation:

Quizzes | 5% |
---|---|

Mid-term Exams | 30% |

Assignments | 15% |

Final Exam | 50% |

### Instructors:

Vladan Jovovic, B.Sc. (Belgrade), M.Sc. (Kragujevac), Ph.D. (Novi Sad)

Tara Todoruk, B.Sc., MSc. (Northern British Columbia)