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Week 4 EQUILIBRIUM OF FORCE SYSTEM :
Objectivities of this class
1. Moments of force system
2. Magnitude and Direction of Moment
3. Reduction of Force and Couple system
- Summary, Quiz, Real-life examples
This class is lecturing in order of above objectivities.
EQUILIBRIUM OF FORCE SYSTEM :
1. Definition of Equilibrium
2. Conditions for Equilibrium
COPLANAR AND NON COPLANAR FORCES:
1. System of Forces
2. Coplanar Forces
3. Non Coplanar Forces
1. Equilibrium(concurrent coplanar) Force
1) Definition:
If a system of forces acting on a body, keeps the body in a state of rest
or in a state of uniform motion along a straight line.
2) Conditions for Equilibrium:
If it satisfies the following two conditions:
ι) ∑ Fx = 0; and ii) ∑ Fy = 0
1. Equilibrium(concurrent coplanar) Force
3) Graphical Conditions for Equilibrium:
Triangle Law:
If three forces are in equilibrium, then, they form a closed triangle
when represented in a Tip to Tail arrangement
1. Equilibrium(concurrent coplanar) Force
3) Graphical Conditions for Equilibrium:
Polygonal Law:
If more than three forces are in equilibrium, then, they form
a closed polygon when represented in a Tip to Tail arrangement
1. Equilibrium(concurrent coplanar) Force
3) Graphical Conditions for Equilibrium:
Lami’s Theorem :
If a system of three forces is in equilibrium, then, each force of
the system is proportional to sine of the angle between the other
two forces.

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1 equilbrium

  • 1. Week 4 EQUILIBRIUM OF FORCE SYSTEM : Objectivities of this class 1. Moments of force system 2. Magnitude and Direction of Moment 3. Reduction of Force and Couple system - Summary, Quiz, Real-life examples This class is lecturing in order of above objectivities.
  • 2. EQUILIBRIUM OF FORCE SYSTEM : 1. Definition of Equilibrium 2. Conditions for Equilibrium COPLANAR AND NON COPLANAR FORCES: 1. System of Forces 2. Coplanar Forces 3. Non Coplanar Forces
  • 3. 1. Equilibrium(concurrent coplanar) Force 1) Definition: If a system of forces acting on a body, keeps the body in a state of rest or in a state of uniform motion along a straight line. 2) Conditions for Equilibrium: If it satisfies the following two conditions: ι) ∑ Fx = 0; and ii) ∑ Fy = 0
  • 4. 1. Equilibrium(concurrent coplanar) Force 3) Graphical Conditions for Equilibrium: Triangle Law: If three forces are in equilibrium, then, they form a closed triangle when represented in a Tip to Tail arrangement
  • 5. 1. Equilibrium(concurrent coplanar) Force 3) Graphical Conditions for Equilibrium: Polygonal Law: If more than three forces are in equilibrium, then, they form a closed polygon when represented in a Tip to Tail arrangement
  • 6. 1. Equilibrium(concurrent coplanar) Force 3) Graphical Conditions for Equilibrium: Lami’s Theorem : If a system of three forces is in equilibrium, then, each force of the system is proportional to sine of the angle between the other two forces.