Two blocks of masses m1=5.0kg and m2=3.0kg are connected by a light string that passes over a solid uniform disk pulley of mass 2.0kg and radius 0.20m. The string does not slip on the pulley, and friction in the axle is negligible. The system is released from rest.
(i) Write the dynamic equations for each block and the rotational equation for the pulley.
(ii) Eliminate the tension forces to derive an expression for the linear acceleration of the blocks in terms of m1, m2, and the pulley's moment of inertia.
(iii) Using I=21MR2 for the pulley, calculate the numerical value of the acceleration.
(iv) Find the tension in each segment of the string and the angular acceleration of the pulley.