Two pulleys are mounted on fixed axles that have negligible friction. The small pulley has a moment of inertia of 9.0 kgm^2, and is made of up of two cylinders wielded together, one of radius 7.0 cm, and one of radius 15.0 cm. The large pulley has a radius of 41.0 cm, and a moment of inertia of 84 kgm^2; he pulleys are coupled together using a light belt. A 7.00 kg mass hangs from the smaller pulley by a rope that is wound around the smaller cylinder. The system is initially at rest, and the mass is then let go, and begins to fall.
a) Find the acceleration of the mass.
b) Find the tension in the rope.
c) Is the tension in the belt the same everywhere?
Dynamics equations (summation of forces).
Torque = Iα
The Attempt at a Solution
I'm actually a bit lost. Our textbook is really bad, and I can't seem to figure out how to solve this question. I've looked online for other resources, but can't seem to find any.
Any help is appreciated! Thank you.