a bucket of mass m is hanging from the free end of a rope whose other end is wrapped around a drum (radius r , mass m ) that can rotate with negligible friction about a stationary horizontal axis. the drum is not a uniform cylinder and has unknown moment of inertia. when you release the bucket from rest, you find that it has a downward acceleration of magnitude a . what is the tension in the cable between the drum and the bucket? express your answer in terms of some or all of the variables m , m , r , a , and acceleration due to gravity g .
