Machine classification – behavior of a screw jack A screw jack used for lifting loads typically exhibits which reversibility characteristic under normal design (self-locking) conditions?

Difficulty: Easy

Correct Answer: a non-reversible machine

Explanation:


Introduction / Context:
Screw jacks convert rotary effort into linear lifting using a power screw. The interplay of helix angle and friction determines whether the device can back-drive under load. Understanding this classification is important for safety and design.



Given Data / Assumptions:

  • Standard square/ACME thread with typical friction conditions.
  • Helix angle α is small; friction angle φ is relatively large.
  • Self-locking is desired for safety (load should not run down when effort is removed).


Concept / Approach:
A machine is non-reversible (self-locking) if the load cannot drive the machine backward to deliver output as input. For a screw jack, the criterion for self-locking is φ > α (or equivalently μ > tan α). Under this condition, back-driving does not occur, and the screw jack is non-reversible.



Step-by-Step Reasoning:

Relate friction angle to coefficient: tan φ = μ.Compute helix angle from screw geometry: tan α = lead / (π d_m).If μ > tan α (i.e., φ > α), then the torque from the load cannot overcome friction to rotate the screw backward.Hence, with typical design values, a screw jack is non-reversible (self-locking).


Verification / Alternative check:
The effort to lower a load normally exceeds zero; if friction is sufficiently high, the load will not descend unless an effort is applied in the lowering direction—hallmark of non-reversibility.



Why Other Options Are Wrong:

  • a reversible machine: would back-drive easily, unsafe for lifting.
  • an ideal machine: would imply zero friction and 100% efficiency, not realistic.
  • none of these: unnecessary; the standard term is non-reversible/self-locking.


Common Pitfalls:
Assuming all screws can back-drive. Many power screws are intentionally designed to be self-locking for holding loads without external braking.



Final Answer:
a non-reversible machine

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