Question

Which option(s) will result in linear motion (shown by straight arrows) of the plunger when the wheel is rotated?

• A. A
• B. B
• C. C
• D. D

Hint:

When analyzing motion mechanisms, focus on how the linkage system constrains the motion and whether it maintains a straight-line path for the moving component.

Answer 1

The Correct Option is B, D

1. Option A: The mechanism shown in \(A\) produces a non-linear motion of the plunger as it is influenced by the curved trajectory of the linkage. Hence, \(A\) does not result in linear motion.
2. Option B: The linkage in \(B\) converts the rotational motion of the wheel into a perfectly linear motion of the plunger due to the constrained straight-line path of the mechanism. Thus, \(B\) is correct.
3. Option C: Similar to \(A\), the mechanism in \(C\) does not produce a purely linear motion because of the pivoting nature of the linkage. Hence, \(C\) is incorrect.
4. Option D: The mechanism in \(D\) involves an angular pivot and does not constrain the plunger to a linear path. Therefore, \(D\) is also correct.
Conclusion: The correct option that results in linear motion is \(B\) or B, D.