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:
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:
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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