Question
Download Solution PDFThe condition of equilibrium states that a stationary body that is subjected to coplanar forces will be in equilibrium if the algebraic sum of all the _____ and the algebraic sum of _____ of all the external forces about any point in their plane is zero.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Conditions of Equilibrium:
- For a stationary body subjected to coplanar forces to be in equilibrium, two main conditions must be satisfied:
- The algebraic sum of all the external forces acting on the body must be zero. This ensures that there is no net force causing linear acceleration.
- The algebraic sum of the moments of all the external forces about any point in their plane must be zero. This ensures that there is no net torque causing rotational acceleration.
Mathematical Representation:
- ΣF = 0 (Sum of all external forces is zero)
- ΣM = 0 (Sum of all moments of external forces is zero)
Last updated on May 28, 2025
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