00:01
Hello, here we have to solve the given problem.
00:03
So first of all, we have to draw the free body diagram for these blocks, and then we have to find net force exerting on each block and acceleration of both blocks.
00:12
So, let's start with the block 2, which is exerting gravity, that equals to m2g, and it's also exerting the tension of the string.
00:28
Meanwhile, according to the third newton's law, the same tension would be exerting on block 1 by the string, and the block 1 is also experiencing reaction on the surface and m1g.
00:50
And also both blocks will have acceleration, so let's see which one is...
00:57
Yeah, block 1 is heavier, that's why we may assume that this acceleration is directed down, downwards along the incline.
01:10
So, and here it's important to notice that although t1 and t2 have different directions, they have similar absolute values.
01:23
And due to the same reason, absolute values of a1 and a2 are the same.
01:32
So now we should redraw this system and show introduce the coordinates for each block.
01:47
So let's start with the block 1.
01:52
Let's introduce y coordinate upwards and x coordinate down the incline.
02:01
Actually let me use different colors.
02:06
So x is down the incline, y is up perpendicular to the incline.
02:12
That's why here if this angle is alpha.
02:16
So we also need to find angle alpha, which we can use to calculate the projections of the gravity onto x and y axis.
02:27
So if this is the gravity, then its projection onto y -axis is m -g -y, and the projection onto x -axis is m -1 -g -x.
02:44
And here the angle alpha is this angle.
02:47
So that's why if we are to write down the third newton equations for the second newton equation for the first block, that would be the following.
03:01
So vector sum of t m1g and actually let me do it here.
03:17
For the first block, the second newton's law looks like the following, so it's sum of t plus n...