The following support will restrict the movement of the rigid body in all the directions
Show Hint
- Built-in support
- Knife edge support
- Hinge support
- Roller support
The Correct Option is A
Solution and Explanation
Concept:
In Engineering Mechanics, supports provide reactions that restrict the motion of a body. Different supports restrain different types of movement.
- Roller support: Restricts motion only in one direction (normal to the surface) and allows translation along the surface and rotation.
- Knife edge support: Similar to a roller support, it provides only one reaction and allows movement in the tangential direction.
- Hinge (Pin) support: Restricts translation in both horizontal and vertical directions but allows rotation.
- Built-in (Fixed) support: Restricts horizontal movement, vertical movement, and rotation.
Step 1: Identify the support that prevents all possible motions.
A rigid body in a plane can undergo:
\[ \begin{aligned} &\text{Horizontal translation},\\ &\text{Vertical translation},\\ &\text{Rotation}. \end{aligned} \]
A built-in (fixed) support restrains all three motions.
Step 2: Compare with other supports.
\[ \begin{array}{|c|c|} \hline \textbf{Support} & \textbf{Motion Allowed} \\ \hline \text{Roller} & \text{Translation along the surface and rotation} \\ \hline \text{Knife Edge} & \text{Translation along the support and rotation} \\ \hline \text{Hinge} & \text{Rotation only} \\ \hline \text{Built-in} & \text{No translation or rotation} \\ \hline \end{array} \]
Hence, only the built-in support restricts movement in all directions.
Answer:
\[ \boxed{(A)\ \text{Built-in support}} \]
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