00:01
Hello here, weight which is 8 kilograms, heats on the incline, that is 30 degree.
00:09
And the second weight is connected through the pulley, which is the weight is 5 kilograms.
00:15
First we have to show the free body diagram for each mass.
00:21
Let's do this.
00:25
Let's start with weight 1.
00:31
M1g is axing downwards.
00:35
And fn1 is acting perpendicular to the incline there is no friction of force but there is a tension of a pulley which is t1 sorry tension of a string and the second block has gravity acting downwards and tension t2 acting up and here t1 has an absolute absolute magnitude of t1 equals to the magnitude of t2 which is t and here the system is moving downwards like the following so a2 is moving down a1 is moving up the incline and these accelerations a1 and a2 has the same magnitude so this is done now let's introduce y1 and x1 axis for the first block and y2 access for the second block so here let's now calculate acceleration.
01:48
So here we are going to write down second unit's low equation for block 1.
01:56
Here for the block 1, t1, which is actually here, t minus m1g sine alpha equals to m1a because this angle is also alpha.
02:17
And for the second block t2 sorry m2 g minus t t equals to m2 a let's calculate the sum of these two equations m2 minus m1 sine alpha times g equals to m1 plus m2 times a equals to m1 plus m2 times a therefore, a is m2 minus m1 sine alpha over m1 plus m2 times g.
03:01
Let's calculate it...