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evaluate the steady state error for the system described by the equation below for unit step and unit ramp signals g

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Final answer:

The provided information does not match the question about steady state error in a control system. Instead, it discusses the calculation of 'g' using a pendulum. Calculating 'g' requires length and period with small angular displacement for precision.

Step-by-step explanation:

The student is asking about steady state error for a system response to unit step and unit ramp signals. However, the information provided seems to be discussing the calculation of the acceleration due to gravity (g) using a pendulum's period and length.

These topics are quite different as steady state error analysis typically pertains to control systems, whereas calculating g using a pendulum is a topic in classical mechanics. Without the specific equation of the control system, evaluating the steady state error is not possible. If the question is indeed about pendulums, the formula to find g using the period (T) and the length (L) of a pendulum is g = (4π²L) / T², valid for small angles of oscillation.

It's noted that for high accuracy in determining g, the pendulum's angular displacement should remain below 0.5°. This ensures that the simplification sin θ ≈ θ remains accurate, which is critical for the precise calculation of g based on length and period measurements of a pendulum.

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