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A square plate is supported in four different ways (configurations (P) to (S) as shown in the figure). A couple moment C is applied on the plate. Assume all the members to be rigid and mass-less, and all joints to be frictionless. All support links of the plate are identical.
  • a)
    Configuration (P)
  • b)
    Configuration (Q)
  • c)
    Configuration (R)
  • d)
    Configuration (S)
Correct answer is option 'B,C,D'. Can you explain this answer?
Most Upvoted Answer
A square plate is supported in four different ways (configurations (P)...
Configuration (P) :

Therefore, it is structure and stable system will be in equilibrium.
But, we know equilibrium is a state of the body where all the forces are of the same magnitude making the net resultant zero. This is called static concurrent equilibrium. i.e. 

But, the given square plate has couple moment c which will be the disturbing action for the concurrent forces and the square plate (configurations P) due to this action cannot be remain in equilibrium. Hence, cannot be remain in equilibrium.
Configuration (Q) :

Here, the forces acting on the square plate is countering the action of couple moment c. Due to this counter action of forces (F) to resist the couple moment c, the square plate will remain in equilibrium. i.e.

Forces (F) giving counter clockwise moment and couple moment c giving clockwise moment. Hence, will remain in equilibrium.
Configuration (R) :

Similarly as we discussed above, here also the forces (F) resisting the couple moment c which is in clockwise direction by providing the anticlockwise moment. i.e. 

Hence, will remain in equilibrium.
Configuration (S) :

In the above arrangement, due to couple moment c , the reactions forces will try to counter the clockwise rotation which in result bring the arrangement in equilibrium or stable position i.e.

Hence, will remain in equilibrium.
Hence the correct option is (B), (C), (D).
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A square plate is supported in four different ways (configurations (P) to (S) as shown in the figure). A couple moment C is applied on the plate. Assume all the members to be rigid and mass-less, and all joints to be frictionless. All support links of the plate are identical.a)Configuration (P)b)Configuration (Q)c)Configuration (R)d)Configuration (S)Correct answer is option 'B,C,D'. Can you explain this answer?
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