00:01
In this problem we have to find the tension between these two blocks.
00:04
One block is here like this.
00:07
The mass of this block is 1kg and another block here.
00:12
Mass is of this block is 2kg and this is connected with a stroke.
00:20
Suppose tension is t and friction coefficient for this block for 1 kg block.
00:29
Mu k is 0 .20 and for 2kg block mu k is 0 .10.
00:42
So now we will draw free body diagram.
00:45
This is 2kj.
00:47
So we know that normal force will be in this direction for both.
00:53
And here 2g will be acting downward.
00:57
And here 1g will be acting downward.
01:00
And that component of 1g here this angle of ramp is inclined plane is given which is 20 degree so this will be equal to 1g cost 20 and here in this direction no 1g sine 20 will be there and for 2kg block 2g sign 20 will be there and 2gblog 2g 5g 5g will be there and 2g cost 20 will be there now if they talk about the friction force fiction force this is f k1 and this is f k2 suppose these two blocks have common acceleration in this direction so we will use newton second row net force should be equal to mass into acceleration so for one kg block we will write equation the force is tension minus fk1 tension minus fk1 plus 1g sine 20 should be equal to 1 into a.
02:32
This is equation number 1.
02:34
Now we will find fk1 will be equal to mu k 1 into normal force which is mg.
02:44
Now normal force will be equal to 1g cost 20.
02:53
So we can write friction force should be equal to mu k1 which is 0 .20 into g.
03:06
Which is 9 .81 into cost 20.
03:11
If we solve, this is equal to 0 .20 multiply with 9 .81 multiply with cost 20.
03:24
So this is equal to 1 .844 newton.
03:31
So we can write this equation t minus f given which is 1 .844 newton plus g sine 20.
03:40
So this will be equal to 3 .35 should be equal to a.
03:51
Now this is equation number one, not this.
03:59
Now, we will write this equation for 2kg block.
04:06
So we will write 2g sine 20 minus fk2.
04:10
2g sine 20 in this direction minus tension force and minus fk2...