In a mechanism hinged to the frame at point 'O' as shown in the figure, AB, CD, BG and GH are rigid members. These members are pivoted to each other at points B, G, D, and O as shown in the figure. If you move the handles A and C from position 1a to 2a and 1c to 2c, respectively, identify the corresponding paths and positions of points G and H with respect to O.
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In linkage mechanisms, visualize how the movement of one point affects others, especially when rigid members are involved.
Step 1: Understanding the mechanism.
This is a linkage mechanism where the movement of handles causes changes in the position of other points (G and H). The rigid members are pivoted, and when the handles move, they alter the position of G and H relative to the fixed point O.
Step 2: Analyzing the movement.
- Moving handle A from 1a to 2a and handle C from 1c to 2c will result in a specific path traced by points G and H, which are dependent on the geometry of the linkage.
Step 3: Conclusion.
Option (C) correctly represents the positions and paths of G and H after the handles are moved.
\[
\boxed{(C)}
\]
