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04-BS-3: May 2018

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

  1. Question 1 Question 1 (paper Question I) — Pipe, Cable and Collar Assembly Supporting a Sign (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) — Belt (Capstan) Friction on an Incline (Part A · Statics, equal value)
  4. Question 4 Question 4 (paper Question IV) — Relative Motion of Two Cars (Part B · Dynamics, equal value)
  5. Question 5 Question 5 (paper Question V) — Impact and Spring Compression (Part B · Dynamics, equal value)
  6. Question 6 Question 6 (paper Question VI) — Angular Velocities of a Slider-Linkage Mechanism (Part B · Dynamics, equal value)

Start with Question 1 →

National Examination 04-BS-3, Statics and Dynamics — 2018-May. 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. algebraically this makes the force-along-y and moment-about-y equilibrium equations identically 0=0 for ANY combination of cable tensions, so no unique solution exists with that reading. Collar A sits on a fixed VERTICAL post (free to slide and rotate about the vertical axis, resisting lateral force + tipping moment — the standard "single collar/bearing" idealization), and that E must anchor on the SAME side as C for the six equilibrium equations to return a unique, physically sensible (all-positive-tension) solution; this reading is used below and corroborated by the clean result T_DE = 495 N exactly. (2) Question 4's source text states car B's speed as 30 m/s while the accompanying figure separately labels it 40 m/s — the printed problem statement's value (30 m/s) is used below, since the worded statement governs.