Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Examination — May 2013 — 04-BS-3 Statics and Dynamics. Three-hour, closed-book exam (one 8.5"×11" self-prepared aid sheet permitted; Casio or Sharp approved calculator). Format: Part A (Statics) offers 3 questions, answer any 2; Part B (Dynamics) offers 3 questions, answer any 2. All six are solved below for completeness.
Reference texts: Hibbeler, Engineering Mechanics: Statics (14th ed., Pearson) — truss analysis, Cartesian-vector equilibrium, belt/capstan friction; Hibbeler, Engineering Mechanics: Dynamics (14th ed., Pearson) — rigid-body relative-velocity kinematics, impact/restitution, curvilinear (normal-tangential) motion.