Question

Two bodies of mass mi = 3 kg and m2 5 kg are joined to a pulley in the form of a disk of mass M 2 kg and radius R2 0.020 m that has a groove of Ri 0.10 m (of negligible mass), such as the picture shows. = = Both slide on inclined planes 30° and 60°. The kinetic coefficients between the bodies and the planes are Mi =0.3 and H2 =0.1 respectively. M R2 (R mi m2 U2 02 Determine A. String tensions B. The acceleration of each body C. The speed of each body when the body m2, moves 3m along the inclined plane 60° Solve for energy conservation

Answer 1

= 349.81 X Singo 03825.ro 14.79 – 7.64 T 710N -1 1. Magicas F Norte N=579.81% 360° magloso N=54981Gostop 24.525N Imagsince = f if I - 12.1 T2² magsince - FR Ta 42:47 - 42 XN 301 102.7 = 42.47 -0.1X 24.52 T hoidon Awal The acce. acceleration of each ber body T = m, a T = 13.655 4,51m/dec? To my

T2 am, az av Ta ME Ag = 40.02 5 14_0.604 mtsce? movey am AN) The speege of each body when the body, along the ancelled pléne 600 27 = 3 min 13 6 S, - 444+ 25 123 Via 1.153 sec #= /2x3 4.51 & + a, t, + y = Q, 1, 3 4.5% !!! V- 5.201 ml secas ماء . - . ا ا را ت کے from the Conservention of hogy + 27T171046-O Find 9 см anguherr velocity

eagh about center of pulley Taking mement T ZIL 164 TT,R - T. R 2 = 1 MCR + 2). a = TR, - To R2 merite Dec 1.92 + 4.002 ****60-1) +60-23) *=108. trad/ Sec? da dw → =dw dt du = wa for t= 1 sec. w=*= 108grad/ see? from a 1971) á X3 X(5,2034 + + x 5 xv? +1x 4x4@*20.2 X1108:47 40,56 pm 2:5 V2+ + 29376430 v = 133.72 8 = 11.56 m sec. 2 20