PS.10.1 Worked Example - Blocks with Friction and Massive Pulley
DR. PETER DOURMASHKIN: I would like to now analyze the motion of a system of particles that has both translational and rotational motion. So I'm going to consider a pulley, and the pulley has radius R. And there is a string wrapped around THE pulley and a block of object 1 that's on a plane, and another block of object 2. And as object 2 falls down, the pulley rotates and object 1 moves to the right. And there's a coefficient of friction between block 1 and the surface. Now, in order to analyze this problem, I'm going to apply, for the pulley, our torque equals I cm alpha, and for each of the blocks, I'll apply F1 equals m1 a1 and F2 equals m2 a2. But the important thing to realize is that these three quantities, the acceleration of block 1, the acceleration of block 2, and the angular acceleration of the pulley, are constrained because this string is not slipping around the pulley. And so let's begin to analyze this type of problem. So we'll s...