Exercise 11.41 A steel cable with cross-sectional area 3.00 cm2 has an elastic l

Question

Exercise 11.41

A steel cable with cross-sectional area 3.00 cm2 has an elastic limit of e0=2.40×108Pa.

Part A

Find the maximum upward acceleration that can be given an elevator of mass 1100 kg supported by the cable if the stress is not to exceed one-third of the elastic limit.

Exercise 11.41

A steel cable with cross-sectional area 3.00 cm2 has an elastic limit of e0=2.40×108Pa.

Part A

Find the maximum upward acceleration that can be given an elevator of mass 1100 kg supported by the cable if the stress is not to exceed one-third of the elastic limit.

Explanation / Answer

the cabel limit is = (2.4*10^8)*3*10^-4 = 72000 N

max tension = 72000/3 = 24000N

acceleration = 24000/1100 = 21.818 m/s^2

max upward acceleration = 21.818-9.8 = 12.018 m/s^2

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