Inclined Plane: Work & Efficiency
This interactive simulator explores Inclined Plane: Work & η in Classical Mechanics. W = F·s, friction and gravity work, ΔU, efficiency η = ΔU/W_F; slide-down preset. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.
Who it's for: Best once you already know the basic definitions and want to build intuition. Typical context: Classical Mechanics.
Key terms
- inclined
- plane
- work
- inclined plane work
- mechanics
- classical
Live graphs
How it works
This companion to Inclined Plane emphasizes scalar work W = ∫ F·ds along the motion. With constant F uphill, W_F = F·s. Kinetic friction opposes slip, so its work is W_f = −μmg cosθ·s on the path. Gravity’s component along the ramp does W_g = −mg sinθ·s when moving uphill. The work–energy theorem gives W_F + W_g + W_f = ΔK. The gain in gravitational potential energy is ΔU = mgs sinθ; for a slow lift we treat η = ΔU/W_F as a simple ‘useful over input’ ratio. Sliding down (no applied force) shows how much of gravity’s work goes into kinetic energy versus dissipation in friction.
Key equations
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