00:01
Hello, here a mass of 0 .44 kilograms is attached to the spring and it's set to oscillation on an infliction lastrophies.
00:08
First, we have to determine amplitude of the oscillation.
00:13
In principle, equation for coordinate as a function of time is a cosine omega t.
00:21
Therefore, a is pre -factor before the cosine function, which is 0 .24 meters.
00:30
Now let's move on, let's answer question b.
00:35
We have to calculate force constant k, and this k can be calculated as following.
00:42
So omega is square root of k over m, therefore k is omega squared times mass.
00:53
And here, omega is 16 radiance per second.
01:16
There is 112 .64 newton per meter which is roughly 113 newton per meter.
01:25
That's solved.
01:26
Now let's move on to question c.
01:29
In question c we have to calculate position after half of the period.
01:41
So that is also 2 pi over omega which is period multiplied by one half.
01:48
That is pi over omega then x at this moment of time is amplitude times cosine of omega times pi over omega that is negative 0 .24 meters now let's answer question d in question d we have to calculate position after one -third of the period that is two thirds pi over omega...