00:01
In this problem, i have a person who's fishing, an angler, and i've got a picture of this whole thing, so i can show you with this.
00:14
All right.
00:14
So here, the angler is at one end of this rod, the anglers over the angler, the angler's the angler.
00:25
And then at the end of this rod, there's this blue line, and down here, this is the fish.
00:31
So i got fish there.
00:33
That's not a very good fish, but it doesn't matter.
00:36
You know what i'm saying? fish, give my smile.
00:39
So anyways, the fish is pulling at this angle beta with respect to the horizontal and beta in this picture is equal to beta and beta is equal to 37 degrees.
01:01
And the rod that the angler is holding makes another angle alpha with respect to the horizontal and alpha is equal to 20 degrees.
01:12
Now, when the fish is pulling on the rod, and the length of the rod, by the way, is equal l.
01:20
So l is equal to 1 .9 meters, a fairly long fishing rod.
01:26
So in any case, the question is, what is the torque that the fish exerts on the angler? now, i just want to point out that if you use a sort of more formal expression for the torque, the torque is equal to the cross product of the moment arm with the force that's exerted on it.
01:49
And the moment arm in this case is this vector here.
01:53
It goes this way.
01:55
And then the force is the force that the fish exerts.
01:58
And if you use the right -hand rule, you can see that the force that is exerted by the fish is into the page.
02:07
So i'll call that the negative z -direction.
02:10
Direction.
02:12
It's into the page.
02:13
We're really asked about the magnitude of that, though.
02:17
Now, the magnitude of a torp is equal to the magnitude of the moment arm times the magnitude of the force times the sign of the angle between the moment arm and the force.
02:32
And the moment arm, in this case, have a length of l, and the force is the force of the fish.
02:39
Now, we are told that the fish exerts a force, it's the fish force, of 92 newtons on the rod.
02:52
So that's the fish's force...