00:04
This problem is really an extension of the previous problem and we want to know when the the maximum distance between the origin and the collar and then the speed at that at that distance.
00:17
So what we can do is we just go back to our previous problem here and what we wind up doing is we don't know r2 now.
00:28
So r2, sorry, r2 is this value and it's also in here and so we need to set that as a variable now.
00:39
And then we know at the maximum distance, the velocity vr is going to be zero.
00:47
So then this value becomes zero.
00:52
So what we have now is we have two equations and two unknowns, but now the two unknowns are v theta 2 and r2.
01:01
And so it's not a simple matter to solve for those but we can what we can do is we can use our conservation of angle momentum to get v theta 2 in terms of r2 and plug that into here and get an equation in terms of r2 which again is not an easy equation to solve but you can use it with solve it with trial and error as they suggest in the book but what i did is i just use the computer to solve it and what we see here is when we plot um when we plot v r as a function of r.
01:41
And so we can we can we want we want v r2 to be zero, but we can we can let it be a variable and we can plot what it is as a function of r and see when it goes to zero.
01:55
So what we see is we get two values here...