Ask Question, Ask an Expert


Ask Engineering Mathematics Expert

Vibration of Electronics Module:

An electronics module is mounted on a machine and is modelled as a single degree-of freedom spring, mass, and damper. During normal operation, the module (of mass m kg) is subject to a harmonic force of F N at ω rad/s. The stiffness is k N/m and the natural damping in the system is  c kg/s. The machine starts and stops during its normal operation, providing initial conditions to the module of x0= 0.01 m and v0 = 0.5 m/s.  You must complete a numerical analysis and plot the displacement and velocity of the module as a function of time for the values assigned to you.

In addition, you must determine the natural frequency of the system and use this to produce a plot demonstrating the behavior of the module when resonance occurs.

Equation of Motion:

mx + cx + kx = Fo sinωt

113_vibration of electronic module.jpg

Engineering Mathematics, Engineering

  • Category:- Engineering Mathematics
  • Reference No.:- M93539

Have any Question? 

Related Questions in Engineering Mathematics

Answer all the questionsq1 consider a parallelogram with

Answer all the questions. Q1. Consider a parallelogram with vertices A, B, C and D. Show that the area of triangle ABD is equal to the area of the triangle ABC. Q2. Show that if A(a 1 , a 2 , a 3 ), B(b 1 ,b 2 ,b 3 ) and ...

1 write the math program for the following bids in the lane

1. Write the math program for the following bids in the lane procurement auction. Clearly define the variables, constraint and objective function LANES   SUPPLIER I          SUPPLIER II         NUMBER OF TRUCKLOAD X -> Y ...

1 rao-blackwell theoremassume that thetacircx is some

1. Rao-Blackwell Theorem Assume that θ ˆ (X) is some estimate of θ, and let T(X) be a sufficient statistic. (a) Define θ ˜ (X) = E h θ ˆ (X)|T(X) i Prove that Varhθ ˆ (X) I ≥ Var h θ ˜ (X) i with equality if and only if ...

1 as part of a high performance telescope nasa wishes to

1. As part of a high performance telescope, NASA wishes to construct a reflective cube, so that regardless of its orientation, a light source can be moved to shine a laser beam directly onto a face. Ideally, the cube mus ...

Case analysis - assignmentdr suzanne pagecase problem

Case Analysis - Assignment Dr. Suzanne Page Case Problem Mossaic Tiles, Ltd. Taken from page 108 in the textbook Gilbert Moss and Angela Pasaic spent several summers during their college years working at archaeological s ...

Math final project -consider the following mathematical

MATH Final Project - Consider the following mathematical model for a spring-mass-dashpot system, found on p.11 of the Optimization text: u′′(t)+ cu′(t)+ ku(t) = 0 on the interval [0, T] with initial conditions u(0) = u 0 ...

1 graphically determine the convolution of the xn and the

1) Graphically determine the convolution of the x[n] and the unit step sequence u[n]. Include a sketch of your answer. 2) For a causal, continuous time LTI system, determine the impulse response given the transfer functi ...

In bayesian model selection and parameter estimation one is

In Bayesian model selection (and parameter estimation) one is often faced with difficult, high-dimensional integrals. For example, suppose we have two models for our data, M1(x1, x2) and M2 (X1, x2), both of which are tw ...

A find the derivative of the functionfz log2-izz3and

(A) Find the derivative of the function f(z) = Log(2-iz)/z 3 , and determine the domain of this derivative. (B) (i) Use the definition of the derivative of a complex function to prove that the function f(z) = 3z - + 2i i ...

Q1 consider a random censorship model in which failure time

Q1. Consider a random censorship model in which failure time T - is exponential with failure rate λ and censoring time C is exponential with rate α. Let T i = T ~ i Λ C i , V = i=1 ∑ n T i , and D he the number of failur ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro