Homework for Garcia 1.2, basic elements of MATLAB
Consider the equation f = (1/2π)√(k1k2/m(k1+k2)) where k1 = 50, k2 = 100, and m = 2.
- First, assign values for k1, k2, and m.
- Next, assign the value to a new variable f, using the variables defined in the first step.
The temperature distribution between to concentric tubes and in the radial direction is:
T = Tb + [(Ta - Tb)ln(b/r)]/ln(b/a)
where r is the radius, and a ≤ r ≤ b. Given Ta = 0, Tb = 100, a = 1, and b = 2:
- Determine the temperature for r = 1.00, 1.01, 1.02, …, 1.99,2.00.
- Plot radial position (r) versus temperature (T) as a solid line.
- On top of that plot, plot every 10th temperature value as a circle.
- Label the axes and provide a title for the plot.
Create two vectors, a row vector whose elements are 2n+1 and a column vector whose elements are 3n+2, for n = 0,1,…,6.
Create a 5x5 square matrix whose elements are -1 along the diagonal and 1 everywhere else. Please define the matrix using any of the following built-in functions: zeros, ones, and diag.
Given the following system of equations
1a + 2b + 3c + 4d = 30
2a + 1b + 3c + 4d = 29
3a + 1b + 2c + 4d = 27
4a + 1b + 2c + 3d = 24
determine a, b, c, and d.
The motion of a particular damped oscillator is described mathematically as the product of a decay function G1(t) and a sinusoidal function G2(t):
F(t) = G1(t)G2(t) = exp(-t/2)sin(5t)
Reproduce the graph below depicting the decay function G1(t) and the damped oscillatory motion F(t).
