# Engineering Mechanics: Dynamics

EGR 216## Course Description

Prerequisite: EGR 215. Aims at students needing a second course in mechanics for engineers. Covers kinematics and kinetics of particles and rigid bodies in 2D and 3D. Uses force/acceleration, energy and momentum methods and applications to machine elements and structures in mechanical engineering. (45-0)

## Outcomes and Objectives

### Demonstrate logic reasoning and the efficient use of tools to solve dynamics problems.

#### Objectives:

- Formulate a step-by-step approach to the complete understanding of the problem and its final solution.
- Develop a Free Body Diagram (FBD) of the component studied such as robotics and automation.
- Identify all pertinent variables on the FBD, or on sketches.
- Extract from the engineering mechanics body of knowledge the theory and formulas relating the variables of the problem in question.
- Make assumptions about variables not specified.
- Solve the problem, obtaining a single answer or a range of acceptable answers, using a hand calculator or a computer.

### Define the important relations in the kinematics of rigid bodies in 3D motion

### Analyze the motion of mechanical vibrating systems

#### Objectives:

- Calculate the natural frequency of a system.
- Calculate the damping effect of a damped vibrating system.
- Calculate the forcing frequency/natural frequency relation of a forced vibration system.

### Analyze the motion of a point.

#### Objectives:

- Calculate straight-line motion problems.
- Calculate curvilinear motion problems.
- Calculate relative motion problems.

### Analyze a non-rotating object, treating it as a point in space, calculating the force or acceleration when given the mass (FMA).

#### Objectives:

- Calculate straight-line motion FMA problems in Cartesian Coordinates.
- Calculate curvilinear motion FMA problems using Normal/Tangential Coordinates.
- Calculate curvilinear motion FMA problems using Polar Coordinates.

### Analyze a non-rotating object as a point in space using energy methods.

#### Objectives:

- Evaluate the work done on or by an object.
- Calculate the power consumed.
- Calculate the kinetic energy or potential energy of an object or system of objects.
- Calculate displacement or force in a system of objects using energy methods.
- Define conservation of energy.

### Analyze a non-rotating object as a point in space using momentum methods.

#### Objectives:

- Define conservation of momentum, and distinguish between systems exhibiting this and those exhibiting conservation of energy.
- Calculate problems using linear impulse and momentum relations.
- Calculate problems using angular impulse and momentum relations.
- Calculate direct central impact problems.
- Calculate mass flow problems, either fluid or granular, using impulse and momentum methods.

### Analyze the 2D motion of a non-deformable object, called a rigid body (RB), rotating and translating through space (General Motion).

#### Objectives:

- Calculate problems of disks, wheels, or other bodies rotating about a fixed axis.
- Calculate velocities and accelerations of a RB in general motion.
- Calculate absolute and relative velocities and accelerations of 2 bodies in sliding contact with each other.
- Analyze the kinematics of mechanical power systems such as an internal combustion engine, a 4-bar linkage, a Geneva wheel, a gear transmission, or a slide bar.

### Analyze the force/mass/acceleration relations of a RB, or a system of bodies, undergoing 2D general motion.

#### Objectives:

- Calculate the moment of inertia of a body.
- Calculate a force or torque of a RB undergoing 2D general motion.

### Analyze a RB, or a system of bodies, undergoing 2D general motion, using energy methods.

#### Objectives:

- Evaluate the work done on or by the body(s).
- Calculate the kinetic energy or potential energy of the body(s).
- Calculate displacement, force, or velocity of a body(s).

### Analyze a RB, or a system of bodies, undergoing 2D general motion, using momentum methods

#### Objectives:

- Calculate problems using linear impulse and momentum relations.
- Calculate problems using angular impulse and momentum relations.
- Calculate the coefficient of restitution of 2 bodies during impact.