Question

Please draw the forces acting on the free body diagram if necessary and answer the question clearly. Thank you.

Two disks A and B with radii 2R and R, an centers. A is rotated with angular velocity in the counter-clockwise direction. No together without slipping. radii 2R and R, and masses 4M and M, are free to rotate about an axis through their th angular velocity o in clockwise direction, and B is rotated with angular velocity 20 e direction. Now B is gently placed on A. In the subsequent motion the two disks rotate otate (a) Show that the common angular velocity of e common angular velocity of the system is given by the direction is the same as that of the larger disk. (b) What is the direction of rotation of the s the direction of rotation of the system? Explain clearly how you decided the direction. netic energy conserved in this collision? Show work to support your answer. MR: co B (c) Is kinetic ener 4M. 2R A

Answer 1

La Iw L = Iw I-1 MR? MR2 a) L=LATL IAWA + Ig WB Li > 1 x 4 H X(2R)'w - I x H xR² x 2W Liz SMR?W - MR W lis 7 MR?w; IATIB = If = 1 4 M x2R1² + I MAR? 8MR²+0.542 = 8.5MR? Li = If wb THR²W = 85 MR² w - wo 7 w 0-82 Wi in clockwise a clockwise, one is b) direction is of so final direction in counter clock wise and other - depends on which one is larger. c) KE; = + IAW ? + 12 EB was 4x44x2R)**W + 4 x Mr*:{zw) → 8HR?w? + 2M622, TOMRW? KEDD 4x8.5 HR2x0826) > 0.85 HR?W2 CS Scanned Energy is lost, the Smerfy lost in work done to CamScannie the aryulare velounes