Two crates of mass 5.0 kg and 9.0 kg are connected by a rope that runs over a pulley of mass 4.0 kg as shown in Figure P8.57.?

(a) Make a sketch showing all the forces on both crates and the pulley.?

(b) Express Newton???s second law for the crates (transnational motion) and for the pulley (rotational motion). The linear acceleration α of the crates, the angular acceleration α of the pulley, and the tensions in the right and left portions of the rope are unknowns.?

(c) What is the relation between α and α??

(d) Find the acceleration of the crates.?

(e) Find the tensions in the right and left portions of the rope.

Figure P8.57

?

Transcribed Image Text:

тpulley m, m1 N m2