All the forces need to be collinear in the three force system. Then on...
The forces need to be collinear. If they are not so then the equilibrium is not possible. If they are parallel too, then it is assumed that they are meeting in the infinity. And hence the equilibrium is established between the forces. Thus the forces must be collinear.
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All the forces need to be collinear in the three force system. Then on...
Statement:
All the forces need to be collinear in the three force system. Then only they will form the equilibrium state.
Explanation:
Equilibrium state is a state in which an object is at rest or moving with a constant velocity. For an object to be in equilibrium state, the net force acting on the object should be zero. In a three force system, three forces are acting on an object. In order for the object to be in equilibrium state, the three forces should meet certain conditions.
The given statement suggests that for the three forces to form an equilibrium state, they need to be collinear. This statement is false. The three forces may or may not be collinear for the object to be in equilibrium state. The only condition that needs to be satisfied is that the net force acting on the object should be zero. The three forces can act at any angle as long as their vector sum is zero.
The second part of the statement is true. In order for the object to be in equilibrium state, the net force acting on the object should be zero. This means that the vector sum of all the forces acting on the object should be equal to zero. If the vector sum is not zero, then the object will either be in motion or will accelerate in a certain direction.
Conclusion:
Hence, the correct option is D, i.e., the first part of the statement is true and the second part of the statement is also true. The three forces need not be collinear for the object to be in equilibrium state, but the net force acting on the object should be zero for the object to be in equilibrium state.
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