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# EGR 216 - Engineering Mechanics: Dynamics

Credits: 3
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.

Prerequisite(s): EGR 215
Corequisite(s): None
Lecture Hours: 45 Lab Hours: 0
Meets MTA Requirement: None
Pass/NoCredit: No

Outcomes and Objectives
1. Demonstrate logic reasoning and the efficient use of tools to solve dynamics problems.
1. Formulate a step-by-step approach to the complete understanding of the problem and its final solution.
2. Develop a Free Body Diagram (FBD) of the component studied such as robotics and automation.
3. Identify all pertinent variables on the FBD, or on sketches.
4. Extract from the engineering mechanics body of knowledge the theory and formulas relating the variables of the problem in question.
5. Make assumptions about variables not specified.
6. Solve the problem, obtaining a single answer or a range of acceptable answers, using a hand calculator or a computer.
2. Analyze the motion of a point.
1. Calculate straight-line motion problems.
2. Calculate curvilinear motion problems.
3. Calculate relative motion problems.
3. Analyze a non-rotating object, treating it as a point in space, calculating the force or acceleration when given the mass (FMA).
1. Calculate straight-line motion FMA problems in Cartesian Coordinates.
2. Calculate curvilinear motion FMA problems using Normal/Tangential Coordinates.
3. Calculate curvilinear motion FMA problems using Polar Coordinates.
4. Analyze a non-rotating object as a point in space using energy methods.
1. Evaluate the work done on or by an object.
2. Calculate the power consumed.
3. Calculate the kinetic energy or potential energy of an object or system of objects.
4. Calculate displacement or force in a system of objects using energy methods.
5. Define conservation of energy.
5. Analyze a non-rotating object as a point in space using momentum methods.
1. Define conservation of momentum, and distinguish between systems exhibiting this and those exhibiting conservation of energy.
2. Calculate problems using linear impulse and momentum relations.
3. Calculate problems using angular impulse and momentum relations.
4. Calculate direct central impact problems.
5. Calculate mass flow problems, either fluid or granular, using impulse and momentum methods.
6. Analyze the 2D motion of a non-deformable object, called a rigid body (RB), rotating and translating through space (General Motion).
1. Calculate problems of disks, wheels, or other bodies rotating about a fixed axis.
2. Calculate velocities and accelerations of a RB in general motion.
3. Calculate absolute and relative velocities and accelerations of 2 bodies in sliding contact with each other.
4. 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.
7. Analyze the force/mass/acceleration relations of a RB, or a system of bodies, undergoing 2D general motion.
1. Calculate the moment of inertia of a body.
2. Calculate a force or torque of a RB undergoing 2D general motion.
8. Analyze a RB, or a system of bodies, undergoing 2D general motion, using energy methods.
1. Evaluate the work done on or by the body(s).
2. Calculate the kinetic energy or potential energy of the body(s).
3. Calculate displacement, force, or velocity of a body(s).
9. Analyze a RB, or a system of bodies, undergoing 2D general motion, using momentum methods
1. Calculate problems using linear impulse and momentum relations.
2. Calculate problems using angular impulse and momentum relations.
3. Calculate the coefficient of restitution of 2 bodies during impact.
10. Define the important relations in the kinematics of rigid bodies in 3D motion
11. Analyze the motion of mechanical vibrating systems
1. Calculate the natural frequency of a system.
2. Calculate the damping effect of a damped vibrating system.
3. Calculate the forcing frequency/natural frequency relation of a forced vibration system.