Curriculum
Course: Applied Mathematics — Second Secondary
Login
Text lesson

Equilibrium of a Rigid Body under Coplanar Forces

Applied Mathematics — Second Secondary

Equilibrium of a Rigid Body under Coplanar Forces

Conditions of equilibrium

Conditions of equilibrium

  • A body under coplanar concurrent forces is in equilibrium if both of the following conditions hold together:
  • ΣX = 0, that is, the sum of the horizontal components is zero.
  • ΣY = 0, that is, the sum of the vertical components is zero.

The closed triangle of forces

  • If a body is in equilibrium under three forces only, then when these forces are drawn as arrows placed head to tail, they form a closed triangle.
  • So the three forces satisfy the equilibrium condition, and the triangle can be used to find the unknowns.
Equilibrium of a Rigid Body under Coplanar Forces · 2 / 6