Aparticle of mass m is connected to a a string the strin times around a uniform solid cylinder of mae m, i r moment of inertia l = mr figure. the cylinder is free to rotate without friction about 0 the particle is released from rest, and drops, making the cylinder ron. is wrspped severa about an axis paming through point o a" shown ℡ the b) using the distance function ie for the partiele, write down the rolling constersi c) calculate the torque of the system due to the gravity about the point 6 d) calculate the angular momentum of the system about the point o. e) using = n, find the equation of motion of the system in terms of e(t). f) write down the total energy of the system and show that it is conserved h) what is the distance of the particle falls from rest in the time t b) using the distance function y(t) for the particle, w