Applied Mechanics and Physics

Course Description

Applied Mechanics and Physics addresses Newton's Laws and various force systems including coplanar, parallel, concurrent, and non-concurrent arrangements. It covers internal force analysis, centroid and center of gravity calculations, and moments of inertia, and encompasses static equilibrium principles, dynamics of motion (rectilinear and rotational), work, energy, mechanical power, impulse, momentum, and impact phenomena.

Within the SCNS taxonomy, ETG is the general Engineering Technology prefix. Daytona State publishes this at 3 credits, offered summer, with EGN2045 or MAC2311C as prerequisite. ⚠ The single term of offering is worth planning around, particularly since ETM4331 lists this course as an alternative prerequisite.

This course covers both statics and dynamics, which is a lot of ground for three credits, and it is the foundation everything mechanical is built on. Strength of materials, machine design, and fluid mechanics all begin by assuming you can draw a correct free-body diagram and write equilibrium equations — and the students who struggle in those later courses are almost never struggling with the new material. They are struggling because the free-body diagram was never solid.

Daytona State does not publish a lecture and laboratory split for this course. Its engineering technology lecture courses run at the standard 15 contact hours per credit — ETG2520 (Statics) and EGN3311 (Statics) are both live at 3 credits and 45 hours — while the C-suffixed courses in these prefixes run at 20 (ETD2320C at 4 credits and 80 hours; ETD2364C, ETS2542C and ETS3543C all at 3 and 60). This course is unsuffixed and lecture-based, and is priced at the lecture convention.

Learning Outcomes

Required Outcomes

• Apply Newton's laws to engineering problems.
• Represent forces as vectors and resolve them into components.
• Draw a correct and complete free-body diagram.
• Identify and represent support reactions correctly.
• Analyse concurrent and non-concurrent coplanar force systems.
• Analyse parallel force systems.
• Compute moments of a force about a point and an axis.
• Apply couples and equivalent force systems.
• Write and solve equilibrium equations for a rigid body.
• Analyse trusses using the method of joints and of sections.
• Analyse frames and machines.
• Compute internal forces in members.
• Locate centroids of areas and composite shapes.
• Locate centres of gravity of bodies and assemblies.
• Compute moments of inertia of areas.
• Apply the parallel axis theorem.
• Describe friction and apply it to equilibrium problems.
• Analyse rectilinear motion using kinematic relationships.
• Analyse rotational motion and angular quantities.
• Apply Newton's second law to problems of motion.
• Apply work and energy methods to dynamics problems.
• Compute mechanical power in rotating and translating systems.
• Apply impulse and momentum, including to impact problems.
• Verify results dimensionally and assess plausibility.

Optional Outcomes

• Describe curvilinear and relative motion.
• Describe vibration at an introductory level.
• Describe distributed loads and hydrostatic forces.
• Describe virtual work.
• Use software to check hand calculations.
• Prepare for the Fundamentals of Engineering examination.

Major Topics

Required Topics

• Newton's laws
• Force vectors and components
• Free-body diagrams
• Support reactions
• Coplanar force systems
• Parallel force systems
• Moments about points and axes
• Couples and equivalent systems
• Equilibrium equations
• Truss analysis
• Frames and machines
• Internal forces
• Centroids
• Centres of gravity
• Moments of inertia
• The parallel axis theorem
• Friction
• Rectilinear motion
• Rotational motion
• Newton's second law applied to motion
• Work and energy methods
• Mechanical power
• Impulse, momentum, and impact
• Verification and plausibility

Optional Topics

• Curvilinear and relative motion
• Introductory vibration
• Distributed and hydrostatic loads
• Virtual work
• Software verification
• FE examination preparation

Resources & Tools

• Your own calculator and a systematic solution format — given, find, assumptions, working, answer with units, sanity check. Adopting one format now is worth more than any single technique in these courses.
• ABET (abet.org) — free accreditation lookup; check which commission accredits your programme before assuming a licensure pathway.
• NCEES (ncees.org) — free information on the FE and PE examinations and state-by-state requirements; the FE reference handbook is free and is a superb formula reference for these courses.
• Florida Board of Professional Engineers (fbpe.org) — free; the authority on Florida licensure.
• Engineering Toolbox and NIST reference data — free property tables and unit conversions; verify anything critical against a primary source.
• Professional societies — ASME, IEEE, ASHRAE, IISE, and ASQ all offer inexpensive student membership, standards access, and local chapter meetings where employers recruit.
• Your programme's laboratory and your instructors — the equipment time is the part you cannot get elsewhere, and it is already paid for.
• Internships and co-op placements — the single strongest predictor of employment at graduation in this field. Start looking a year before you think you should.

Career Pathways

• Mechanical engineering technologist and technician — SOC 17-3027.
• Electrical and electronic engineering technologist and technician — SOC 17-3023.
• Industrial engineering technologist and technician — SOC 17-3026.
• Manufacturing and production engineering support — process improvement, tooling, and quality.
• Quality engineering and inspection — SOC 51-9061 at technician level, rising into quality engineering.
• Maintenance and reliability engineering — consistently in demand and under-applied for.
• Controls, automation, and systems integration — among the best paid technical work available without a four-year engineering degree.
• Utilities and power — a substantial Florida sector, with generation, transmission, and distribution employment plus storm restoration work.
• Aerospace, defence, and space — Florida's Space Coast is one of the densest concentrations of this work in the country; ⚠ many roles require U.S. citizenship and some a security clearance.
• Theme park and attraction engineering — a genuine and distinctive Florida employer of mechanical, controls, and maintenance engineering talent.
• Building systems, HVAC, and energy management — steady work with a strong Florida market.
• Continue to a bachelor's or a graduate degree — Daytona State's engineering technology bachelor's programmes are the direct route, and see the licensure note about what that degree does and does not qualify you for.

Special Information

⚠⚠ The free-body diagram is the course — everything else is arithmetic

• Almost every wrong answer in mechanics is a wrong free-body diagram. The algebra afterwards is usually correct; it is answering the wrong question.
• Draw it every single time, even when the problem looks obvious. The habit is what carries into strength of materials, machine design, and fluid mechanics — and students who skip it in this course pay for it in every course after.
• Isolate the body completely. Cut it free of everything, and replace each thing you removed with the force it exerted.
• ⚠ Get the support reactions right. A pin, a roller, a fixed support, and a cable each permit and resist different things, and confusing them is the single most common error in the subject.
• Include weight when it matters and say when you have neglected it. An unstated assumption is an error waiting to happen.
• Count unknowns against equations before solving. If they do not match, the diagram is incomplete or the problem is statically indeterminate — and knowing which is itself the answer.
• Choose the moment point deliberately. Taking moments about a point where unknowns act eliminates them, and a good choice turns three simultaneous equations into one.
• Check the signs and check the direction. A negative result means the force acts opposite to your assumption, which is fine — provided you notice.
• Sanity-check the magnitude. A reaction larger than the total applied load is telling you something is wrong.

⚠ Statics and dynamics in one term — plan for the pace

• This course covers in one term what many programmes split across two, and it is offered in summer, which is normally a compressed term. That combination is demanding and worth preparing for.
• Get the mathematics current before it starts. Trigonometry, vectors, and calculus are used constantly, and time spent relearning them mid-course is time not spent on mechanics.
• Work problems continuously rather than before assessments. Mechanics is learned by solving, and reading solutions produces a convincing but false sense of understanding.
• Do not fall behind. The topics build strictly — equilibrium depends on free-body diagrams, dynamics depends on both — and recovery is genuinely difficult.
• Form a study group. Explaining a solution to someone else is the fastest way to find out you did not understand it.
• Use the tutoring centre from week one, not after the first poor result.
• Keep your solved problems organised. They are your revision material and your reference for later courses.
• ⚠ If the summer term does not work for you, plan a year ahead — and note that ETM4331 lists this course as an alternative prerequisite, so its timing affects the sequence.

⚠⚠ An engineering answer is a number, a unit, and a judgement about whether it is plausible

• A number without units is not an answer, and unit errors are the single most common source of catastrophic engineering mistakes — including ones that have destroyed spacecraft.
• Carry units through the calculation rather than adding them at the end. If the units do not come out right, the working is wrong, and this catches errors nothing else will.
• ⚠ Sanity-check every result. Ask whether the magnitude is plausible before writing it down — a beam deflecting three metres or a pump drawing a megawatt is telling you something, and the software will not.
• Estimate first, then calculate. An order-of-magnitude estimate made before the analysis is the cheapest error check available.
• Know your assumptions and state them. Every analysis rests on idealisations — rigid bodies, incompressible flow, linear elasticity — and the failures happen where an assumption stopped being true and nobody noticed.
• Significant figures are a claim about precision. Reporting eight digits from a measurement good to two is a misrepresentation, not thoroughness.
• ⚠ Software output is not verification. Analysis packages return confident, well-formatted answers to badly posed problems — you are responsible for the model, the inputs, and whether the result makes sense.
• Show the working. An answer nobody can check is not usable engineering, and in professional practice it is not acceptable.
• Say when you are unsure. Flagging a doubt is what a competent engineer does; concealing it is how failures propagate.

⚠ Engineering technology and professional engineering licensure in Florida

• Engineering practice is regulated in Florida under Chapter 471, Florida Statutes, through the Board of Professional Engineers and FBPE. Offering engineering services to the public and sealing engineering documents require a professional engineer licence.
• ⚠⚠ Engineering technology and engineering are different educational pathways, and the distinction matters for licensure. Licensure routes are built around programmes accredited by ABET, and ABET accredits engineering and engineering technology under separate commissions with different criteria.
• ⚠ A degree in engineering technology may not qualify a graduate for PE licensure on the same terms as an engineering degree, and in some states not at all. Requirements differ by state and they change.
• If professional licensure is your goal, establish the route before you enrol — ask FBPE directly, ask the programme what its graduates have actually done, and get the answer in writing. This is the same unrecoverable trap this repository records for allied health accreditation, and it is discovered just as late.
• The industry exemption matters in practice. A great deal of engineering work performed inside a manufacturing company does not require a licence, which is why many engineering technology graduates have full technical careers without one.
• Certification is a separate and useful route — NICET, ASQ, and manufacturer certifications are recognised by employers and do not depend on the degree's accreditation category.
• ⚠ Rule 11 applies. Licensure requirements, accreditation criteria, and reciprocity between states all change — verify with FBPE and NCEES rather than relying on this guide.

How Florida course levels affect transfer

The first digit of an SCNS number denotes the year of offering, not transferability. Courses at the 1000 and 2000 levels transfer transparently between Florida public institutions, and 3000 to 4000 is unproblematic since both are upper division. The boundary that actually matters is 2000 to 3000, where lower-division credit generally cannot satisfy an upper-division requirement — and it is live in these prefixes, since Daytona State offers both associate-level and bachelor of science in engineering technology coursework in them.

ETG3541 is 3 credits and approximately 45 contact hours, offered summer only at Daytona State, with EGN2045 or MAC2311C as prerequisite.

See this repository's ETG2520 (Statics and Strength of Materials) and EGN3311 (Statics) guides for related courses.