Theory & Scientific Principles
Newton's Three Laws: (1) Law of Inertia: $\sum \vec{F} = 0 \implies \vec{v} = \text{const}$. (2) Fundamental equation of dynamics: $\vec{F}_{\text{net}} = m\vec{a} = \frac{d\vec{p}}{dt}$. (3) Action-Reaction symmetry: $\vec{F}_{AB} = -\vec{F}_{BA}$.
Inclined Plane Mechanics: Weight decomposes into $F_\parallel = mg\sin\theta$ down the slope and normal force $N = mg\cos\theta$. Kinetic friction is $f_k = \mu_k N$.
Net Acceleration: Along the ramp, acceleration is $a = g(\sin\theta - \mu_k \cos\theta)$ when motion occurs.
Operating Instructions: Set mass $m$, applied force, incline angle $\theta$, and friction $\mu$. Run the simulation to view real-time vector breakdowns and kinematics.