Question

Problem 4. (25 points) The thin disk below turns on a massless arm B by way of a smooth bearing that keeps the axes of D and B aligned. The arm is hinged to the shaft driven at a constant angular speed 12 by a motor. The system is set up so that the arm is horizontal when the disk contacts the ground as shown. Assuming the disk of mass m rolls without slipping, find the force reactions and the moment reactions exerted by the arm on the bearings at point C in terms of the given dimensions, the mass, the normal force acting on the disk, the friction forces acting on the disk and the angular speed 12. Frame F 名 2 som en FROMTE I L B X

Answer 1

a a Given! The thin disk below tums massless am B by way of smooth bearing that keeps the ones of D and is alinged The arm is hinged to the shaft driven at a castent motore angular speed n by a becave anglar speed wis constant hence engulere acceleratie (0) lie azo ما ہے dt ។ T Fromet B IC Rc 24 MAR mc my MN TE N mss of disc =m disc rolles without slipping radius Hong exerted Then force reaction by the arm on the bearing at point c. Because slipping is not allowed. Hence total force in oxial dirn.ip zero mRL- UN = Rc Rc maral-ung Now reaction moment exerted by the arm o the bearing of point c. moment a Force x t distance Mc= und me= ungr