An Atwood's machine consists of two masses m1 and m2,, which are connected by a massless inelastic cord that passes over a pulley. The pulley has a radius R and a mass M and can be treated as a solid cylinder. Assume m1>m2.

(a) Determine the linear accelerations of m1, m2 and the angular acceleration of the pulley.

(b) Suppose m1=10kg, m2=8kg, R=0.1m, and M=5kg .Find the numerical values for the linear accelerations of m1,m2, and the angular acceleration of the pulley.