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THEORY I: OPERATING FORCE-VELOCITY THEORY OF M4NA FRAMEWORKAuthor: Shah Ahmed Fazley Rabbi, BAM, ndcFramework: Mechanics for New Age (M4NA) Classical MechanicsCreated: 14 June, 2026THEORY I: OPERATING FORCE-VELOCITY THEORYABSTRACTThe Mechanics for New Age (M4NA) framework proposes a quantitative description of mechanical operations centred on the direct correspondence among the value of applied/operating force, velocity, duration, accumulated

THEORY I: OPERATING FORCE-VELOCITY IN M4NA FRAMEWORKAuthor: Shah Ahmed Fazley Rabbi, BAM, ndcFramework: Mechanics for New Age (M4NA) Classical MechanicsCreated: 14 June, 2026ABSTRACTThe Mechanics for New Age (M4NA) framework proposes a quantitative description of mechanical operations centred on the direct correspondence among the value of applied/operating force, velocity, duration, accumulated applied-force quantity, and actual travel. The

proportionality: \(F\propto S\) 17.2 Universal ratio: $\frac{F}{S}=k$. 17.3 Greater travel: S↑⇒F↑. 17.4 Lower travel: S↓⇒F↓. 17.5 Zero boundary: S=0⟺F=0. 17.6 Interval consistency: $F_i=ks_i$. 17.7 Complete-operation consistency: $F=kS$.

2.   Basis of Classification The classification follows five organizing considerations: Operational role: What function does an applied force perform within the mechanical operation? Value variation: Does the applied force or velocity value remain the same or change across intervals? Combination: Does the operation involve an individual applied force or a resultant formed from multiple applied

foundational quantities. The principal relationships used throughout the paper are: F = kS F/T = kV vᵢ = kfᵢ S = Σsᵢ V = S/T   The principal relationships used throughout the paper are: f ∝ v Fᵢ = fᵢtᵢ sᵢ = vᵢtᵢ F = ∑ᵢ₌₁ⁿ fᵢtᵢ S = ∑ᵢ₌₁ⁿ vᵢtᵢ V = S/T F

M4NA therefore prefers to preserve the individual values before reducing them to a total or average. For actual travel:  For the corresponding time-weighted average velocity: This permits M4NA to distinguish: V=(∑_i▒v_i t_i)/(∑_i▒t_i )

M4NA relationships: [[F=kS]] [[\frac{F}{T}=kV]] [[f_i=kv_i]] [[S=\sum_{i=1}^{n}s_i]]