Answer to Question #173399 in Mechanical Engineering for Tyrese Panue

Question #173399


3 The extension, , of a material with an applied force, , is given by .


a)     Calculate the work done if the force increases from 200N to 600N using:

i)    An analytical integration technique

ii)   A numerical integration technique

[Note: the work done is given by the area under the curve]


b)    Compare the two answers

c)     Using a computer spreadsheet increase the number of values used for your numerical method

d)    Analyse any affect the size of numerical step has on the result.



1
Expert's answer
2021-03-22T08:37:39-0400

If we get F, is given by y = e^F x 1 x 10^-3. (e is to the power of F x 1 x 10; 10 is to the power of -3 in that equation)


A.i) 

ii)Solving by Trapezoidal Rule

Let 

According to Trapezoidal rule

B)Answer obtained in part(ii) is lesser than that obtained in part(i).

C)If we increase the values of n to n=5,n=6,n=7...The obtained Answer is closer to the actual value.

D)As n becomes larger and larger,the more accurate the answer is.


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