1991M2. Two masses. m1 and m2 are connected by light cables to the perimeters of two cylinders of radii r1 and r2, respectively. as shown in the diagram above. The cylinders are rigidly connected to each other but are free to rotate without friction on a common axle. The moment of inertia of the pair of cylinders is I=45kg⋅m2 Also r1=0.5 meter, r2=1.5 meters, and m1=20 kilograms.
a. Determine m2 such that the system will remain in equilibrium.
The mass m2 is removed and the system is released from rest.
b. Determine the angular acceleration of the cylinders.
c. Determine the tension in the cable supporting m1
d. Determine the linear speed of m1 at the time it has descended 1.0 meter.