For any system of coplanar forces, the condition of equilibrium i

For any system of coplanar forces, the condition of equilibrium i
| For any system of coplanar forces, the condition of equilibrium is that the

A. algebraic sum of the horizontal components of all the forces should be zero

B. algebraic sum of the vertical components of all the forces should be zero

C. algebraic sum of moments of all the forces about any point should be zero

D. all of the above

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Right Answer is: D

SOLUTION

Explanation:

Coplanar force system:

A system in which all the forces acts in the same plane is termed as coplanar force system.

For any system of coplanar forces to be in equilibrium following condition should be satisfied:

  • The algebraic sum of the horizontal components of all the forces should be zero.
  • The algebraic sum of the vertical components of all the forces should be zero.
  • The algebraic sum of moments of all the forces about any point should be zero.

ΣFx = 0, ΣFy = 0 and ΣM = 0

Concurrent force system:

A system in which all the forces acts in the same line is termed as concurrent force system.

For any system of Concurrent forces to be in equilibrium following condition should be satisfied:

  • The algebraic sum of the horizontal components of all the forces should be zero.
  • The algebraic sum of the vertical components of all the forces should be zero.

ΣFx = 0, ΣFy = 0