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Esoteric Trigonometry
From Wikipedia: "All of the trigonometric functions of an angle θ can be constructed geometrically in terms of a unit circle cen...

25 days ago

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Rule of mixtures (composites) - upper bound
The <http://en.wikipedia.org/wiki/Rule_of_mixtures rule of mixtures> is used in the mechanical design of composite structures to...

25 days ago

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Stress-Strain Properties - 8
Up to this point, you've calculated some material properties based on tensile stress-strain data. For this problem, you are task...

25 days ago

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Stress-Strain Properties - 7
The toughness of a material is technically defined as the plastic strain energy absorbed by the material (the olive region in th...

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Stress-Strain Properties - 5
Similar to the previous problem, materials may be characterized by their stiffness-to-weight ratio, which is the elastic modulus...

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Stress-Strain Properties - 2
The resilience of a material is its ability to resist permanent (or plastic) deformation. The resilience coincides with the elas...

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Stress-Strain Properties - 4
A common measure of the ability of a material to carry load per unit mass is termed strength-to-weight ratio and is calculated b...

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Stress-Strain Properties - 6
The total energy absorbed by a material up to failure in a tensile test is termed the absorbed strain energy. With respect to th...

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Stress-Strain Properties - 3
A brittle material will not exhibit a yield point. In other words, the yield point and failure point coincide. In such cases, th...

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Stress-Strain Properties - 1
This is the first in a series of problems regarding mechanics of materials, in particular, material properties drawn from stress...

25 days ago

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Rule of mixtures (composites) - lower and upper bounds
The <http://en.wikipedia.org/wiki/Rule_of_mixtures rule of mixtures> is used in the mechanical design of composite structures to...

25 days ago

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Rule of mixtures (composites) - lower bound
The <http://en.wikipedia.org/wiki/Rule_of_mixtures rule of mixtures> is used in the mechanical design of composite structures to...

25 days ago

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Easy Sequences 27: Product of Radicals of Integers
The radical of a positive integer is defined as the product of the distinct prime numbers dividing . For example, the distinct ...

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Easy Sequences 26: Prime-Integer Line Segments
At the first quadrant in the -plane, you are asked to construct a line segment with the following specifications: Select a prim...

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Plotting Practice
Plot cos(x) vs x as shown in the figure below. Include the appropriate title, x-label, and y-label. Note, it is case sensitive. ...

25 days ago

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Easy Sequences 25: Product of Series
The function 'P(n)' is defined as the series product: where 'T(n)' is the triangular sum: ...

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Create a square matrix with given conditions
Create a square matrix, M, which should be populated as follows: M = [ n^2 n * (n-1) n * (n-2) ... n * 2 n * ...

1 month ago

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Set x value to each odd index of vector y.
Set x value to each odd index of vector y.

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Find the sines of an isosceles triangle when given its area and height
Find the sines of an isosceles triangle when given its area and height. For example, when A=60 and h=5, the result is [0.3752...

1 month ago

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Convert array of decimal numbers into hexadecimal numbers array.
Convert array of decimal numbers into hexadecimal numbers array. Example x =[ 32 33 34 35 36 37 38 ...

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Tridiagonal matrix
Given vectors u and v, make a tri-diagonal symmetric matrix such that u is in the main diagonal and v is below and above diagona...

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Calculate feeling temperature before climbing a mountain
I sometimes climb a mountain. As is well known, when the altitude becomes 100 (m) higher, the temperature lowers by 0.6 degrees...

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Delete the column with all 0 !
Delete the column with all 0 data in a matrix(x). e.g. input x = 1 0 0 4 5 0 7 0 ...

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Average of odd values
Find the average of odd values in given a matrix. e.g x=[ 4 11 8 ; 9 2 7 ] y =( 11 + 9+ 7 ) / 3

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Average of even-numbered columns
Given a vector, find the average of even-numbered columns. e.g x = [ 4 6 8 9 1 2 7 ] y = ( 6 + 9 + 2 ) / 3

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Remove multiples of N
in the vector x remove all multiples of N. x = [1 2 3 4 5 6]; N = 2; Then y = [1 3 5];

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Magnitude of a vector
Given a vector x, what is its magnitude?

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Binary Inversion
Given the unsigned 8-bit integer x, return the number y which is the binary inversion of x. For example if x is 5, y should b...

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Count the numbers
In a array x, count the number of times the number n appears in x. for example: x = [1 2 3 4 3 2 1 2] and n = 2 the answer sh...

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Counting votes
x is a vector of votes, e.g. x=[1 2 3 2 2 1 3 2 1 2 2 2 2], who is the winner? 1,2,3?

1 month ago

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