Connected Particles | OCR A A-Level Maths | 40 Worked Examples (H240)

40 exam-style questions on Connected Particles for OCR A A-Level Mathematics (H240, Paper 3 Mechanics, spec points 3.03k-o), each with a fully worked, mark-scheme-annotated solution. The pack is calibrated to OCR’s own conventions: g = 9.8 m/s (per the exam rubric), the light-inextensible-string and smooth-pulley modelling assumptions, and OCR’s M/A/B/SC mark codes rather than another board’s, with the detailed-reasoning (DR) instruction used on the show-that questions. Questions ramp in difficulty from Easy (the Atwood pulley, a car and trailer, a block on a smooth table over an edge pulley, lift reaction problems) through Standard (rough tables and inclines, tow-bar tension with resistances, tow-bar thrust under braking, finding the coefficient of friction, two-phase string-goes-slack motion) to Challenging (a double-incline wedge, a particle on a block over a pulley, the range of a hanging mass for equilibrium, and two full detailed-reasoning derivations of a = (M-m)g/(M+m) and T = 2Mmg/(M+m)). Every worked solution breaks the method into one atomic step per line, with a plain-English note on each line and the exam mark folded in only where the real mark scheme rewards it. Free-body and system diagrams are drawn inline. Ideal for revision, homework, or in-class modelling of full-method solutions.