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GATE 2022 ME (ME2) – Question 26

Engineering Mechanics · Free-body diagrams and equilibrium · 1 mark · Multiple select

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. The square plate can remain in equilibrium in its initial state for which one or more of the following support configurations?

P has two inclined upper links and a central vertical lower link; Q has four horizontal/vertical links; R has horizontal links at different heights; S has parallel inclined links at the lower corners.
  1. Configuration (P)
  2. Configuration (Q)
  3. Configuration (R)
  4. Configuration (S)

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Show answer and explanation

Correct answer: (B) Configuration (Q); (C) Configuration (R); (D) Configuration (S)

Explanation

Each two-force link supplies a force along its axis. In P all three link-force lines are concurrent and cannot balance a pure couple. Q has separated force lines, and R and S have parallel noncollinear link forces that can form a resisting couple.