Mechanics

Inclined Plane

Splitting weight on an inclined plane

  • High school
  • about 4 min
  • 3 of 7 in the family
Not started
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