00:01
In this question we have the value of mass m which is equals to 5 kg, then the spring constant k which is equals to 180 newton per meter, then the damping constant b which is equals to 0 .20 kg per second, then the maximum force f max which is equals to 50 newton and the angular frequency omega which is equal to 20 radian per second.
00:33
Now let's first find out of first value that is the frequency so we can write the maximum frequency which is equal to mass multiplied by the maximum acceleration so we can write this as 50 divided by 5 which is equal to x max multiplied by by omega square.
01:00
Therefore, we get the value of x max, which is equals to 10 divided by 20 square.
01:08
So we get the value of amplitude, that is maximum amplitude, which is equals to 0 .0 25 meter.
01:19
So this is the first answer, that is the maximum amplitude.
01:23
Now in the second part when the frequency we can write omega which is equal to under root k divided by m which is equals to under root of 180 divided by 5.
01:38
So it becomes around frequency which is equals to 6 radian per second...