Scenario 1. The gondola car for the CHAIR Lift system weighs 440 kg nd can hold

Question

Scenario 1. The gondola car for the CHAIR Lift system weighs 440 kg nd can hold 5 astronauts. When the lift car moves between the second and third support poles (Figure 1), the crater slope under the lift is a constant 60°, the lift poles are 10 m in height, and require 75 m of cable between poles (to include sag from the weight of the car and astronauts) (Figure 2 During this point in the descent, the CHAIR will be in a position between the poles such that the angle of the cable to the up-slope pole is 40° and the angle to the down-slope pole is 50 This is a point of concern due to the angle of the down-siope pole. The weight of the cable has a significant impact on the speed of e lift such that the lighter the th cable the faster the gondola moves. a. Based on this design and your estimate of the astronauts' weight, determine which of the four cables in Table 1 can be used. Use mathematics to support your answer (consider looking at Example 7 on Page 8o4 to get started). The acceleration due to gravity on Mars is 3.71 m/s2. b. Conduct a sensitivity analysis on how the weight of the astronauts affects your choice of cable you determined mathematically in part a. You must evaluate at least three different weights and make a final recommendation for the cable that should be used. Your choice of cable should be the lightest one possible, while taking into account the results of your sensitivity analysis. Table 1: Cable Data Cable Diameter (cm) Approximate Mass (kgfm) Max Cable Tension Newtons)* l.S 3-1 "The max cable tension represents the amount of tension the cable can safely hold without fear of breaking 10m 10m. Figure 2: CHAIR Lift System

Explanation / Answer

let tension of cable is T then

T*Cos40+T cos 50 =440*10

T= 3123 N

but massincluding will creat some more tension hence cable B with dia 2.1 will be suitable

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