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If we , see the diagram three co planar forces in equilibrium are concurrent.
We can form a close polygon, when we connect head to tail manner.
Please refer the attachment.
Equilibrium Of Concurrent Force System :
In general a Body is said to be in equilibrium when the forces acting upon it has zero resultant.
Conditions of static equilibrium of Concurrent Forces :
1. Sum of all forces in X direction is zero:
∑Fₓ=0 or ∑FH=0
600 Cosθ=200
Cos θ=200/600
= 1/3
θ=70.5 ° Answer
2. Sum of all forces in Y direction is zero:
∑Fy=0 or ∑Fv=0
N+600sinθ=800
N+600 sin(70.5)=800
N+600×0.94264=800
N=800-565.584
N=234.416 lb
=234.416 lb is the Answer
We can form a close polygon, when we connect head to tail manner.
Please refer the attachment.
Equilibrium Of Concurrent Force System :
In general a Body is said to be in equilibrium when the forces acting upon it has zero resultant.
Conditions of static equilibrium of Concurrent Forces :
1. Sum of all forces in X direction is zero:
∑Fₓ=0 or ∑FH=0
600 Cosθ=200
Cos θ=200/600
= 1/3
θ=70.5 ° Answer
2. Sum of all forces in Y direction is zero:
∑Fy=0 or ∑Fv=0
N+600sinθ=800
N+600 sin(70.5)=800
N+600×0.94264=800
N=800-565.584
N=234.416 lb
=234.416 lb is the Answer
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