Answer only last two parts. c,d A force sensor has a mass of 0.5 kg, stiffness of 200 N/m and adamping constant of 6.0 N s m".Calculate the steady-state sensitivity, natural frequency anddamping ratio for the sensor.b. Calculate the displacement of the sensor for a steady inputforce of 2 N.c. If the input force is suddenly increased from 2 N to 3 N,derive an expression for the resulting displacement of thesensor. Assume that the sudden change is being modeledusing step-function.d. Estimate the values of maximum overshoot (in %) andsettling time (in s).

Given, m = 0.5 kg Stiffness k = 200 N/m damping constant λ = 6 N s m-1 Step Height = 1 ( change in…

c. If the input force is suddenly increased from 2 N to 3 N, derive an expression for the resulting displacement of the sensor. Assume that the sudden change is being modeled using step-function. d. Estimate the values of maximum overshoot (in %) and settling time (in s).

c. If the input force is suddenly increased from 2 N to 3 N, derive an expression for the resulting displacement of the sensor. Assume that the sudden change is being modeled using step-function. d. Estimate the values of maximum overshoot (in %) and settling time (in s).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Problem 1.1MA

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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

Answer only last two parts. c,d

A force sensor has a mass of 0.5 kg, stiffness of 200 N/m and a
damping constant of 6.0 N s m".
Calculate the steady-state sensitivity, natural frequency and
damping ratio for the sensor.
b. Calculate the displacement of the sensor for a steady input
force of 2 N.
c. If the input force is suddenly increased from 2 N to 3 N,
derive an expression for the resulting displacement of the
sensor. Assume that the sudden change is being modeled
using step-function.
d. Estimate the values of maximum overshoot (in %) and
settling time (in s).

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