Poles and ResponseA map from where a pole sits on the s plane to what you see in time.Mechanical EngineeringThe slowest pole dominates everything you actually observe.Pole locationWhat you see in timeFar left, realFast decay, no oscillationNear the axis, realSlow decay, dominates the responseComplex pair, left halfDecaying oscillationOn the imaginary axisSustained oscillationAnywhere in the right halfGrowing output, unstableAt the originPure integrator, output rampsA pole five times further left than the dominant one barely changes theshape at all. Ignore it early.Poles and Responselearnposters.com
Poles and Response — printable engineering wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Poles and Response poster

A 6-row table: Pole location · What you see in time.

The slowest pole dominates everything you actually observe.

A pole five times further left than the dominant one barely changes the shape at all. Ignore it early.

Questions about the Poles and Response poster

What’s on the Poles and Response poster?
A 6-row table: Pole location · What you see in time. The slowest pole dominates everything you actually observe. Far left, real — Fast decay, no oscillation; Near the axis, real — Slow decay, dominates the response; Complex pair, left half — Decaying oscillation; On the imaginary axis — Sustained oscillation; Anywhere in the right half — Growing output, unstable; At the origin — Pure integrator, output ramps. A pole five times further left than the dominant one barely changes the shape at all. Ignore it early.
Who is the Poles and Response poster for?
Poles and Response belongs to the Mechanical Engineering section rather than to a school year, because engineering is not something one grade owns. Anyone learning control systems can pin it up — a beginner, a student mid-course, or someone revising years later.
When should you use the Poles and Response poster?
Reading a root locus or a pole plot and predicting the shape of the response. A wall chart earns its place by being glanceable from where the work is happening, so Poles and Response belongs on the wall where that engineering work actually happens, within glancing distance, rather than filed away.
What other posters go with Poles and Response?
Plant Poles & Zeros, Block Diagram Algebra and Gain & Phase Margin sit alongside Poles and Response in the Mechanical Engineering section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Plant Poles & ZerosBlock Diagram AlgebraGain & Phase Margin
Is the Poles and Response poster free to download and print?
Yes. Poles and Response downloads as a free PDF with no account, no email and no watermark, like everything else in the Mechanical Engineering section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Poles and Response poster print at?
Poles and Response is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Poles and Response loses nothing.Printing guide

Related posters

Charts that sit alongside Poles and Response on the same wall.

Browse every Mechanical Engineering poster, or start from the full catalogue.