+1-415-315-9853

info@mywordsolution.com

## Engineering

 Civil Engineering Chemical Engineering Electrical & Electronics Mechanical Engineering Computer Engineering Engineering Mathematics MATLAB Other Engineering Digital Electronics Biochemical & Biotechnology

General Information

i) All problems in the tasks must be completed precisely with adequate detail to gain the pass criteria.

ii) All submissions to be electronic in the MS Word format. All answers should be clearly identified as to that task and problem they refer to.

Analyse engineering problems and formulate mathematical model using first order differential equations

problem1. A heated object is allowed to cool in a room temperature which has a constant temperature of T0:

a. Evaluate the cooling process

b. Formulate mathematical model for cooling process.

problem2. At time   t= 0 water begins to leak from a tank of constant cross-sectional area A.  The rate of outflow is proportional to the h, the depth of water into the tank at time t.  prepare the constant of proportion kA where k is constant.

a. Evaluate the tank leaking process.

b. Formulate mathematical model for leaking process.

prepare conclusions based on your formulated mathematical model for the leaking process.

Solve first order differential equations by using numerical and analytical methods.

problem3. Find out the solution of following equations:

a). di/dt = t(2-5i), i(0) = 10

b). t2 dQ/dt + tQ =2

problem4. Use the Euler method with the step size shown to advance four steps from given initial condition with given differential equation
dV/dt = 2t + v, V(0) = 1; h = 0.1

Analyse engineering problems and formulate mathematical model by using second order differential equations.

problem5. For simple model of a shock observer shown in figure below:

a. Analyse the model, vertical motion of the mass.

b. Formulate mathematical model of the model

Resolve second order homogeneous and non- homogenous differential equations.

problem6. Find out the general solutions of the following equations:

i. d2y/dx2 + dy/dx – 2y = 0

ii. d2y/dx2 + 9y = 0

problem7. Find out the general solutions of the following equation that satisfy the given initial conditions.

d2q/dt2 + dq/dt + q = t2 - 1
q(0)=0
dq/dt = 0, t=0

Apply first and second order differential equations to solution of engineering situations

problem8. The velocity v of a rocket attempting to escape from the earth’s gravitational field is given by:
v  dv/dr = g R2/r2
Where:
r    is its distance from the centre of the earth and
R    is the mean radius of the earth

Find out a formula for V(r) and verify the minimum launch velocity V0 in order that rocket escapes.

Electrical & Electronics, Engineering

• Category:- Electrical & Electronics
• Reference No.:- M9781

Have any Question?

## Related Questions in Electrical & Electronics

### 1 the rocket nozzle shown below consists of three welded

1. The rocket nozzle shown below consists of three welded sections. Determine the axial stress at junctions 1 and 2 when the rocket is operating at sea level. The mass flow rate is 770 lb m /s. 2. The pressure on the con ...

### 1 what are the two types of firewalls2 what is a vpn and

1. What are the two types of firewalls? 2. What is a VPN and why is it needed? 3. How do LANs on a fully private internet communicate? 4. Host A and host B use IPSec in the transport mode. Can we say that the two hosts n ...

### 1 prove that a signal cannot be simultaneously timelimited

1. Prove that a signal cannot be simultaneously timelimited and bandlimited. 2. The signal x(t) = sin(0.7πt) cos(0.5πt) is sampled using Fs = 1 Hz to yield a discretetime signal x[n]. Next, x[n] is filtered using an idea ...

### 1 the dam shown below is 100 m wide determine the magnitude

1. The dam shown below is 100 m wide. Determine the magnitude and location of the force on the inclined surface. 2. The float in a toilet tank is a sphere of radius R and is made of a material with ρ. An upward buoyant f ...

### 1 how do you find the work done in moving a test charge by

1. How do you find the work done in moving a test charge by an infinitesimal distance in an electric field? 2. What is the amount of work involved in moving a test charge normal to the electric field? 3. What is the phys ...

### The relationship between deformed and undeformed

The relationship between deformed and undeformed coordinates for the pure bending of a plane-strain solid is given as Compare the engineering strain and Lagrangian strain. Show that the two strain measures become identic ...

### Find the zero-state response yt of the network in fig p44-1

Find the zero-state response y(t) of the network in Fig. P4.4 -1 if the input voltage x(t) = te-tu(t). Find the transfer function relating the output y(t) to the input x(t). From the transfer function, write the differen ...

### 1 we defined two security services for e-mail pgp and smime

1. We defined two security services for e-mail (PGP and S/MIME). Explain why e-mail applications cannot use the services of SSL/TLS and need to use either PGP or S/MIME. 2. Assume Alice needs to send an e-mail to Bob. Ex ...

1. Implement the half adder circuit on the breadboard. 2. Implement the full adder circuit on the breadboard. 3. Using the 2-bit adder presented in the chapter as a model, implement a 4-bit adder in Logisim. Implement an ...

### 1 state maxwells curl equations for static fields2 what is

1. State Maxwell's curl equations for static fields. 2. What is the expansion for the gradient of a scalar in Cartesian coordinates? When can a vector be expressed as the gradient of a scalar? 3. Discuss the physical int ...

• 13,132 Experts

## 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.

### 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