00:01
In this problem, we are given that there is an at -wood machine as shown, and there is a string which connects the two masses as shown by m1 and m2.
00:13
M -1 here is given as 22 kg and m -2.
00:19
That is given as 15 kg.
00:23
And we are required to determine the acceleration of the masses, and along with that, we have to also compute the tension.
00:31
In the string.
00:33
So a here is the acceleration and t is the tension and let's see the free body diagram of each of these masses.
00:39
So there will be weight acting in the downward direction and to compute the weight for each mass we use this expression according to which we multiply the mass with the acceleration due to gravity whose value is 9 .8 meter per second square.
00:55
So when we multiply 22 with 9 .8 we get the weight of m1 as 215 .6 newtons and the weight of m2 that comes out to be 147 newtons and the tension force will be along the string and here m1 is greater than m2 so this m1 will be accelerating downwards and m2 will go up and t is the tension and now we use this equation which is in accordance with newton's second love motion so f here is the net force and that is equal to mass times acceleration.
01:34
So considering each of the mass, let's first consider m1, the net force on this m1, it will be 215 .6 minus t, and this is equal to its mass times acceleration.
01:48
Let's mark this as equation 1, and the net force on this mass m2, that's in the upward direction because it accelerates in that way.
01:57
So the net force is t minus 147 and that's equal to its mass times acceleration...