Nepal Engineering Council Registration Exam — Agricultural Engineering · Nepal · Nepal Engineering Council
Original practice questions written to the published syllabus · not past papersForces, equilibrium and motion of particles and rigid bodies: the starting point for structures, machines and tractor mechanics.
In the exams: NCEES FE Statics 9–14 and Dynamics 9–14 questions; ICAR AIEEA-PG Unit IV
How our questions for Nepal Engineering Council Registration Exam spread across the units of Engineering Mechanics (Statics & Dynamics). Difficulty: 10 easy, 14 medium, 1 hard.
| Analysis of trusses and frames | 6 | |
| Free-body diagrams and equilibrium | 5 | |
| Force systems and resultants | 4 | |
| Area and mass moment of inertia | 3 | |
| Centroid and centre of gravity | 2 | |
| Virtual work | 2 | |
| Kinetics: Newton's laws and D'Alembert's principle | 1 | |
| Work-energy principle | 1 | |
| Impulse and momentum | 1 |
Choose an answer, then open the working. Each explanation says why the right answer is right and why the others are not.
The top link of a tractor's three-point hitch is pinned at both ends and carries no load between them. Ignoring its own weight, its force must act:
D. Along the straight line joining its two pin centres
A member loaded only at two pins is a two-force member; equilibrium requires the two end forces to be equal, opposite and collinear, so the force lies along the line joining the pins. That is why the top link is either in tension or in compression.
Further reading: Meriam and Kraige, Engineering Mechanics: Statics / Dynamics
A 4 m simply supported beam in a feed store carries a 6 kN point load 1 m from the left support. What is the left support reaction?
C. 4.5 kN
Moments about the right support: RA x 4 = 6 x 3, RA = 4.5 kN, and RB = 6 - 4.5 = 1.5 kN. The nearer support carries more; 1.5 kN reverses the arms and 3 kN assumes a central load.
Further reading: Meriam and Kraige, Engineering Mechanics: Statics / Dynamics
A plane pin-jointed roof truss has 7 joints and is supported by one pin and one roller. How many members does it need to be simple and statically determinate?
D. 11
For a plane truss, m = 2j - 3 = 2 x 7 - 3 = 11. Using 2j gives 14; forgetting the 3 rigid-body equations is the common slip. More than 11 members makes it indeterminate; fewer makes it a mechanism. 10 uses j + 3; 12 subtracts only the two pin reactions (2j − 2).
Further reading: Meriam and Kraige, Engineering Mechanics: Statics / Dynamics
A symmetric triangular truss with a 6 m span and 1.5 m rise carries 8 kN at its apex on a pin and a roller. What is the force in each rafter?
B. 8.94 kN compression
Reactions 4 kN each. theta = arctan(1.5/3) = 26.57 degrees. Vertical equilibrium at the support: F_rafter = 4 / sin theta = 8.94 kN, pushing into the joint, so compression. 8.00 kN is the tie force; rafters of a gable truss under gravity load are always in compression.
Further reading: Meriam and Kraige, Engineering Mechanics: Statics / Dynamics
A plane truss on a pin and a roller has 6 joints and 10 members. It is:
C. Internally indeterminate with one redundant member
2j - 3 = 9. With m = 10 there is one member more than needed, so member forces cannot be found by statics alone; the truss is indeterminate to the first degree.
Further reading: Meriam and Kraige, Engineering Mechanics: Statics / Dynamics
A T-section toolbar has a flange 120 mm wide by 20 mm thick on top of a web 20 mm thick and 100 mm deep. How far is the centroid above the bottom of the web?
C. 82.7 mm
Flange: A = 2400 mm2 at y = 110 mm; web: A = 2000 mm2 at y = 50 mm. y-bar = (2400 x 110 + 2000 x 50) / 4400 = 82.7 mm. 60 mm is half the total depth; 80 mm averages the part centroids without weighting by area; 37.3 mm is measured from the top.
Further reading: Meriam and Kraige, Engineering Mechanics: Statics / Dynamics
A 3000 kg tractor takes a level curve of 15 m radius at 5 m/s. What total sideways friction force must the tyres supply?
B. 5.0 kN
Centripetal force = m v^2 / r = 3000 x 25 / 15 = 5000 N = 5.0 kN, supplied by tyre side friction. Using v instead of v^2 gives 1.0 kN; multiplying by g treats the mass as a weight. 0.39 kN reads 5 m/s as 5 km/h (1.389 m/s).
Further reading: Meriam and Kraige, Engineering Mechanics: Statics / Dynamics
A worker drags a sledge of seed 50 m along level ground with a rope tension of 300 N inclined 30 degrees above the horizontal. How much work does the rope do?
C. 12.99 kJ
W = F s cos theta = 300 x 50 x cos 30 = 12990 J = 12.99 kJ. The vertical component does no work because the sledge does not move vertically; using sin 30 takes the wrong component. 15.00 kJ uses the full tension; 7.50 kJ uses sin 30; 8.66 kJ uses tan 30.
Further reading: Meriam and Kraige, Engineering Mechanics: Statics / Dynamics
An ideal hydraulic jack has a pump piston of 20 mm diameter and a lifting ram of 80 mm diameter. What force on the pump piston supports 16 kN on the ram?
A. 1.0 kN
Equal pressure (or virtual work with equal displaced volume): F1 / A1 = F2 / A2, so F1 = 16 x (20/80)^2 = 16 / 16 = 1.0 kN. Using the diameter ratio instead of the area ratio gives 4 kN. 0.25 kN cubes the diameter ratio; 256 kN multiplies by the area ratio instead of dividing.
Further reading: Meriam and Kraige, Engineering Mechanics: Statics / Dynamics
A pulley block lifting an engine has four rope segments supporting the moving block. Ignoring friction and pulley weight, what pull on the free end holds a 2000 N load?
D. 500 N
Virtual work: raising the load by delta y shortens four supporting segments, so the free end moves 4 delta y. P x 4 delta y = 2000 x delta y, P = 500 N. Counting only two segments gives 1000 N. 8000 N multiplies by four instead of dividing.
Further reading: Meriam and Kraige, Engineering Mechanics: Statics / Dynamics
Ten here, 25 in the app. The Laisha app has every practice question we have written to Nepal Engineering Council Registration Exam in this subject, marked as you go, with timed papers, a jump-to-unanswered list and a certificate when you pass at 70 per cent.
Free for ten days, then one subscription of US$10 a month. We would rather say so here than have you find it later.
An AI operating system for agriculture: free guides, manuals and tools written for every country.