Question

D с B A 010 010 2 3 A 4 wagon train is travelling up a slope with 20 m/sec velocity. The wagons with a mass of 8000 kg each, are connected with rigid links. For this system: a) If the brakes are applied at all wagons at the same time corresponding to a kinetic coefficient of friction of 0.4, determine the acceleration of the train. b) If the brake is applied only on wagon A with a kinetic coefficient of friction of 0.4 determine the acceleration of the train and the force at the link 1 C) If the brake is applied only on wagon A, and link 1 breaks, determine the acceleration of the wagons B.C and D if they are moving on the tracks without slipping with p=0.05. 4°

Answer 1

9. the there is on all wagon o). they are sliding If brakes are applied rolling in whools. That me the incline a along whole wagons mugcaso imgsing ingreso (gsine - englaso) in gsine-ugcasa 10 (sinu-oncorde - 3.29 as the train was. static friction. which is possible and there is no need of overcoming moving a= = - 3:29. m/22 - (-vesign indicates direction towards up the slope), brakes, As only abagon- A is applied on - 3+29 m/s2 awagon A for the rest wagonss the wheel are so rolling

moment at" 0 = I x. I a=reN = YuN = ung case (as uwchools Pererate) mem & I =m Cees oxr - rong ху, 2 ug coasca caso. 2 ug a= ra => 2 unglesa acceleration of wagon b, c, d is 2 = 240.Uxlox Cos4 - 7098 Force on link 1 a restwagens و ] + 3* 800OX +80ooxa Asagona - 3.29 +34 7.93] 80oox 165.2KN. 165200 N = The net fore applied on linek1 is 165.2KN. c). aceleration as above of hest wago ns is same as calculated sug coso (given u=0.5). = 2x0.5x cox casu = 90975 m/2