Question

Consider the displacement of the spring shown in the following figure: 00000 +A The displacement x is given by: x = A cos (wt) Where . x is the displacement at a given time t • A is the maximum displacement w is the angular frequency, which is depended in the mass attached to the spring as well as to the spring constant and t stands for the time . Compute the displacement of x for the time intervals starting from 0 to 10 seconds when A, the maximum displacement equals to 4 cm, and the angular frequency equals to 0.6 radian/s. Your output must be formatted in a table of displacement and time values.

Answer 1

A = 4
w = 0.6000

time(t)	displacement(x)
0	4
1	3.30134
2	1.44943
3	-0.908808
4	-2.94957
5	-3.95997
6	-3.58703
7	-1.96104
8	0.349996
9	2.53877
10	3.84068

Here is the equivalent code for matlab:

A = 4
w = 0.6
for t = 0:1:10
    x = A*cos(w*t*57.2958);
    s=sprintf('%d\t\t%d',t,x);
    disp(s);
end