Question

As part of a department store display, a model train D runs on a slight incline between the store's up and down escalators. When the train and shoppers pass point A the train appears to a shopper on the up escalator B to move downward at an angle of 22 with the horizontal, and to a shopper on the down escalator to move upward at an angle of 23* with the horizontal and to travel to the left. Knowing that the speed of the escalators is 48 fu's, determine the speed and the direction of the train (Round the final answers to three decimal places.) С 30 The train moves at a speed of fu's at an angle of

Answer 1

train moves at Sog the data, given The speed of B, VB = B, VB = 4.8 ft)rec ['i.e, the speed of escaletrés] 4 8fH see The speed of a ver when the shoppers * cis seen from the escalator.c, the train moves at an angle of dat And the relative relocity of D with respecto u "DIC ise, VD-VES = VOICE when the shoppers seen from the escatatos B, angle of as an the D war. to B is VDIB The relative relocity of Vo VB = VolB i. e, o = x

From the diagram given in problem, we have V 29° C 30 g - Volo 9.22+0. 30' (2300" 350 L VolB * Coreove beste Sines to determine resultant from the law of force, la sines [: law of VD 478 in ales Sin's sin (22+0) A Fa F₂ ] " Ein (23-2) sing FR (B Fi sinß sind sinn sin 8? VP 4.8 sin (22+2) VA Sing" Sim (2.3-or) 4.8 Sing? sint sin (3.d) Sin (22+0)

32 23 $ 14) 68.C67-3 +4 - ทา(6722 (๕ Lad29 ] hๆ 8 ก223 2534 - ต่าย ad-3 ก่า 4 = 674 57182 6ฑา 57ced 41 ๒๖ ๔ (ด้า 8 23 - Si7 677) - 64 6 7 8 234 ก่ทา 222 ravida 61 8 8son23 627 22 618 cs52 ตา urg) 1. 0711 4 felsee 1,637 4.8 % (A) ป) ๆ (2.2 + 2.0.1) : The train moves at speed of 1. 64 et sec at an aryl et 4.0”