13) You are planning on hanging the famous Wookie Lisa in a turbolift. The cable

Question

13) You are planning on hanging the famous Wookie Lisa in a turbolift. The cables you have available can each support 150 N of tension. The painting's mass is 60 kg. In the event of an emergency, the turbolift is designed to brake at a rate of 3g, where g corresponds to Earth gravity. In order to avoid damage to the painting, you want to use enough cables so that no one cable exerts a force greater than 105 N on the painting. On the other hand, Chancellor Palpatine himself, citing the clone army budget, has demanded that you use the minimum number of cables. How many cables do you use?

Explanation / Answer

In case of emergency, The total force that acts on the painting downwards is the sum of its weight and the pseudo force, which should be counter balanced by the tensions in the cables

F= mg+ma

= mg+3mg

= 4mg = 4*60*9.81

F = 2354.4 N

Since each cable can exert 105 N

the number of cables used will be, = 2354.4/105

= 22.422

hence minimun number of cables required are 23

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