Problem 3 Background The natural frequency, an, is the frequency at which a syst

Question

Problem 3 Background The natural frequency, an, is the frequency at which a system will vibrate when it is set into motion. It is a value that mechanical, civil and aerospace engineers compute when examining structures. Problem Statement You are a civil engineer and want to find the natural frequency of a structure you are designing. In order to determine this frequency it is necessary to use the quadratic equation to solve for the roots of A- 100 B 1.15 x 104 C 2.7 x 10 where: Hint: Use the quadratic formula. The MATLAB command sqrt can be used to take the square root of a value or you can take the (1/2) power of the value. The two solutions, x, to the quadratic equation are real and positive. To determine the two natural frequencies, con, take the square root of the x values. The units of com will be in rad/s. Print the answer to the screen in the format shown below using an fprintf statement, Make sure to include the correct number of decimal places. The natural frequencies are X.XX rad/s and x.xx rad/s. Instructions Represent Refer to the algorithms provided below.

Explanation / Answer

A = 100;
b = -11500;
c = 270000;

d = b*b-4*a*c;

x1 = (-b + sqrt(d))/2*a;

x2 = (-b-sqrt(d))/2*a;

w1 = sqrt(x1);

w2 = sqrt(x2);

fprintf(w1,w2);

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