EngineerProof practice series

FE Mechanical Practice Exam

Name: Mechanical Practice Exam, Form A
Brand: EngineerProof
Price: 29 USD
Availability: InStock

Form A

110 original problems in the FE Mechanical format, with complete worked solutions. Every problem is answerable with the on-screen reference handbook alone, every solution names the governing handbook equation, and every numeric answer was reproduced by a second, independent calculation route before publication.

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What is in the exam

110 problems distributed across all 14 knowledge areas of the current FE Mechanical specification, with per-area counts inside the published NCEES ranges. Two timed sittings of 55 problems reproduce the pace of the real 5-hour-20-minute appointment.

Knowledge area	This form	NCEES range	Free sample
Mathematics	7	6-9	View
Probability and Statistics	5	4-6	View
Ethics and Professional Practice	4	4-6	View
Engineering Economics	5	4-6	View
Electricity and Magnetism	6	5-8	View
Statics	10	9-14	View
Dynamics, Kinematics, and Vibrations	10	10-15	View
Mechanics of Materials	10	9-14	View
Material Properties and Processing	7	7-11	View
Fluid Mechanics	10	10-15	View
Thermodynamics	11	10-15	View
Heat Transfer	8	7-11	View
Measurements, Instrumentation, and Controls	6	5-8	View
Mechanical Design and Analysis	11	10-15	View

How the solutions are written

A short derivation in plain professional prose: what governs, the governing equation named as it appears in the reference handbook, and the result with units.
A one-line explanation of each wrong choice, computed from the specific error that produces that exact value — never invented.
Every answer verified by a second, independent route — an alternate formula, a limiting case, or a direct recomputation — before release.
Typeset as a clean, monochrome book: the full form, an answer key, and complete solutions in one print-ready PDF.
A score sheet groups your results by knowledge area — the same area-by-area view as the NCEES diagnostic report — so a retake candidate can check that the weak areas from a previous attempt have actually closed.

Sample problem

Mathematics

A right circular conical hopper stands apex down, $8$ ft deep with an $8$ ft top diameter. Granular material is fed in at a steady $12$ ft $^{3}$ /min. When the material depth is $6$ ft, the rate at which the surface level rises is most nearly:

(A)0.106 ft/min
(B)0.141 ft/min
(C)0.424 ft/min
(D)1.273 ft/min

Show worked solution

Answer: (C)

Because the free surface at 6 ft depth spans only 28.3 ft $^{2}$ , a 12 ft $^{3}$ /min feed lifts the level about 0.42 ft/min.

Similar triangles fix the surface radius at half the depth, which collapses the cone volume to a function of depth alone.

r = \frac{h}{2}

V = \frac{π}{3} r^{2} h = \frac{π h ^{3}}{12}

Differentiating in time links the two rates, and the instantaneous depth of 6 ft closes the problem.

\frac{d V}{d t} = \frac{π h ^{2}}{4} \cdot \frac{d h}{d t}

\frac{d h}{d t} = \frac{4 ( 12 )}{π ( 6 ) ^{2}} = 0.424 ft/min

FE Reference Handbook — Mathematics: Derivatives and Indefinite Integrals; Mensuration of Areas and Volumes, Right Circular Cone

Why the other choices appear

(A)Taking $r = h$ instead of $h /2$ gives $d h / d t = 12/ [π (6)^{2}] = 0.106$ ft/min.
(B)Dropping the $1/3$ from the cone volume gives $V = π h^{3} /4$ and $d h / d t = 48/ [3 π (6)^{2}] = 0.141$ ft/min.
(D)Carrying the $1/3$ into the rate equation as $d V / d t = (π /3) r^{2} d h / d t$ with $r = 3$ ft gives $12/9.425 = 1.273$ ft/min.

One free sample problem with its complete worked solution is published for each knowledge area — open any area from the table above.

Retaking the exam?

Repeat attempts pass at roughly half the first-time rate, and the difference is almost always the plan, not the person. Read the FE Mechanical retake guide — the current NCEES rules, how to read your diagnostic report, and how to use this form's knowledge-area score sheet as the go/no-go check before you pay for the next appointment.

Corrections and provenance

Every problem in this book is an original work written for this publication. Official examination questions are confidential and are not reproduced or paraphrased. If an error survives the two-route verification, the correction is published on this site with a version number, and buyers can re-download the corrected PDF from their receipt link at no charge. Support: support@inshihub.com.