Matching each mechanical process to its application.
1. The quick return mechanism is a feature of the shaper machine, enhancing its efficiency by differing the cutting and return speeds.
2. The apron mechanism is part of a lathe, used to control the motion of the carriage along the lathe bed.
3. Indexing mechanism is commonly used in milling machines for precision work positioning.
4. The regulating wheel is a part of centerless grinding, controlling the rotational speed and axial feed of the workpiece.
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is:
A digital filter with impulse response $ h[n] = 2^n u[n] $ will have a transfer function with a region of convergence.