00:01
So in this quotient, a ladder is sliding down.
00:09
Suppose that this be a ladder and the length of the ladder is given as 2l.
00:23
And as the ladder is sliding down, so this angle will be changing that the ladder is making with the horizontal with time.
00:31
That's why i have taken this angle as theta t, which is a function of time.
00:37
If you resolve this 2l along the x and y coordinate, along the x axis, you will get 2l cos theta t.
00:48
And along the y axis, you will get 2l sin theta.
00:55
And this is let be the coordinate of the center of mass.
01:02
So let its coordinate be xt and yt.
01:10
If you see that this coordinate will remain the same as the ladder slide down.
01:15
So we can say we can use this as the constraint.
01:19
So in this quotient, now we can write the generalized coordinate, generalized, generalized coordinate.
01:33
So there will be three generalized coordinates, x, y and theta and the constraint.
01:41
Constraint, that means the coordinate that remains the same during whole motion.
01:47
The constraints will be, you can say, like x equals to, see x is here.
01:58
So total length is 2l.
01:59
So this will be l.
02:01
So x will be l cos theta.
02:05
X will be l cos theta.
02:09
See half of the length is there.
02:11
That's right.
02:12
So if you resolve this, this length will be l cos theta and this vertical length will be like y coordinates.
02:20
Why is that constraint? because this will remain same over during the whole motion.
02:25
Y equals to l sin theta...