00:01
In this problem we have been given that there is an elevator and this elevator is accelerating upward at the rate of 2 meter per second square.
00:08
We need to determine the tension in each of these ropes provided that these two blocks are hung as shown here to the ceiling of the elevator.
00:19
So let us consider the tension in the top rope as t1 and the tension at the bottom rope as t2.
00:25
So we draw first the free body diagram of the 10 kg object that's at the bottom most point.
00:31
So there will be weight and that will be weight will be 98 newtons because the expression to get the weight is mass times acceleration due to gravity.
00:41
And that's 10 times 9 .8 which comes out to be 98 newtons.
00:46
And there will be tension t2 in the upward direction.
00:49
Plus, here in this block we can see that there will be a pseudo force that will be acting in the downward direction which will be mass times the acceleration.
01:01
Or we can think in terms of the net force that's acting on this 10 kg object as it's accelerating up so the net force will be in the upward direction.
01:10
So t2 minus 98 that will be 10 times its acceleration which is 2...