00:01
In this problem, we have been given that there is a moving train.
00:05
And this moving train is having a constant acceleration of a -0.
00:11
Let's say the train is moving to the right with acceleration a -0 as indicated here.
00:16
And there is a plumb line that's being carried along this moving train.
00:21
And the bob has a mass of m -kilograms.
00:27
So let's say here we have a bob that's having mass m -kilograms.
00:32
And as the train is accelerating to the right, the bob will be present at this point somewhere, and that will be having an angle theta with respect to the vertical, let's see.
00:44
So here we need to determine the tension in the card as well as the deflection that's observed from this vertical line.
00:53
So here we see all the forces that's acting.
00:56
So there will be tension force along the string, and there will be the weight acting in the downward direction.
01:03
Plus there will be a pseudo -force that will be acting here and that will be mass times the acceleration of the tree.
01:10
So here we balance all the forces because the bob is present at the equilibrium here at this place.
01:17
So let's project this tension force.
01:20
So there will be t -cos theta here and there will be t -sign theta here...