00:01
We'd like to find the tension t2.
00:04
So let's make our free body diagrams for our system.
00:09
So for our pulley, which has a radius r, we have our tension force t2 and our tension force t1.
00:17
Alpha is our acceleration divided by r.
00:20
For mass 1, we have our weight force, our tension 1, and our acceleration in this direction.
00:28
For mass 2, we have our weight force, tension 2, and our acceleration in this direction.
00:35
So we need to find our acceleration first and foremost.
00:39
So to find our acceleration, let's first find our moment of inertia of our pulley.
00:46
Our moment of inertia is one half mass radius squared.
00:50
So plugging in 1 half 8 .2 squared, we get 0 .16 kilogram meters squared.
00:58
Our net torque, from our net torque expression, we find tension 2 minus tension 1 equal to our moment of inertia times acceleration divided by r squared...