00:01
Okay, we have a 4 meter long plank with a weight of 80 newtons.
00:05
It's placed on a dock with 1 meter of its length extending over the water.
00:11
So let's draw this as our dock.
00:17
So here's the water.
00:21
Okay, this black color will be the plank.
00:26
Okay, so this plank is 4 meters long.
00:34
It extends 1 meter out from the dock.
00:41
And it's of uniform density so that the center of gravity is located at the center of the plank.
00:47
So right there, right in the middle.
00:51
So two meters from either end is the center of gravity.
00:56
Then you have a boy that starts to walk out onto the plank.
01:04
And then we're asked a few questions here about the torques.
01:07
So what is the torque exerted by the weight of the plank about the pivot point at the edge of the dock? so we're making the edge of the...
01:14
Dock right there that green dot our pivot point.
01:18
So remember a torque is equal to a force times the distance.
01:24
The perpendicular distance of the force is from the axis of rotation.
01:34
So the green point is our axis of rotation.
01:37
So part a, the torque will be equal to the force.
01:40
What is the force? well, it's the weight of the board.
01:45
And how far is it from the axis of rotation? well, the force acts through the center of mass, and the center of mass is one meter from the edge.
01:59
Okay, so this means that it exerts a torque of 80 newton meters.
02:10
Okay, how far from the edge of the dock can the boy move until the plank is just on the verge of tipping? okay, if the plank is just on the verge of tipping, it means it's not tipping, so it hasn't rotated.
02:24
Which means if you add up all the torque, it equals zero.
02:29
Because if you have a net torque, then the plank will rotate.
02:34
So let's just actually draw this real quick.
02:37
So here's our plank, here's our pivot point.
02:44
We have acting through the center of mass.
02:48
We have the weight of the board.
02:51
Pull that weight board...