high School⏱ 4 min

Inclined Plane

Splitting weight on an inclined plane

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θ = 30°F∥ = 25 NF⊥ = 42 N

Parameters (g = 9.81)

F∥=mgsin⁡θ=24.5 NF_\parallel = mg\sin\theta = 24.5\,\text{N}

a = g·sin θ = 4.90 m/s²

• Weight mg splits along and perpendicular to the slope • Steeper incline → larger F∥ and a faster slide • Acceleration depends only on the angle, not the mass