NivaarExam PrepOfficial exam papers ↗

04-BS-3: December 2018

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 Question 1 (paper Question I) — Ball-and-Socket Pipe Assembly with Two Support Cables (Part A · Statics, equal value)
  2. Question 2 Question 2 (paper Question II) — Plane Truss Member Forces (Part A · Statics, equal value)
  3. Question 3 Question 3 (paper Question III) — Minimum Friction Coefficient for a Tong-Lifted Crate (Part A · Statics, equal value)
  4. Question 4 Question 4 (paper Question IV) — Velocity and Acceleration of a Link Sliding Between Two Guides (Part B · Dynamics, equal value)
  5. Question 5 Question 5 (paper Question V) — Pendulum Strikes a Wall: Rebound Angle via Coefficient of Restitution (Part B · Dynamics, equal value)
  6. Question 6 Question 6 (paper Question VI) — Block Sliding Down a Ramp with Friction, then Projectile Motion (Part B · Dynamics, equal value)

Start with Question 1 →

National Examination 04-BS-3, Statics and Dynamics — 2018-Dec. Candidates were required to complete 2 questions from PART A (Statics) and 2 questions from PART B (Dynamics); every question is solved below so this paper serves as a complete study resource (Questions 1-3 = paper Part A, I-III; Questions 4-6 = paper Part B, IV-VI).

Reference texts: Hibbeler, Engineering Mechanics: Statics (14th ed.); Hibbeler, Engineering Mechanics: Dynamics (14th ed.).

Check — source reconstruction notes. (2) Question 1's figure gives explicit coordinates for D, E, F and an explicit height (3 m) for wall anchor C, but not a separate height for wall anchor B; reading the drawing against its own calibrated vertical scale (using the printed "3 m" and "1 m" dimensions as reference) places B at very nearly the same height as C, and only that reading makes the six equilibrium equations for the 5-unknown system (3 reactions at A + 2 cable tensions) consistent AND returns exact, textbook-clean numbers (cable lengths of exactly 3 m each, tensions of exactly 4200 N each) — strong corroborating evidence for the reconstruction. B = (0, -2, 3) m and C = (0, 2, 3) m (both relative to A) are used below. (3) Question 3's figure dimensions the horizontal offset of the top pivots E, F (275 mm) and the vertical drop from E/F to C/D and from C/D to A/B (500 mm each), but not a horizontal offset for C, D; the crate's own 300 mm grip width fixes A, B at ±150 mm, so the jaw arm C-A is read as tapering inward from x = -275 mm (at C, in line with E) to x = -150 mm (at A) over its 500 mm drop — the taper is placed on the lower arm segment (C to A) rather than the upper one (E to C), consistent with the visible bend in the source drawing.