A mine elevator is supported by a 2.2 cm diameter steel cable (Ultimate Strength

Question

A mine elevator is supported by a 2.2 cm diameter steel cable (Ultimate Strength = 600 MN/m2). The mass of the elevator and its contents is 800 kg. The modulus of elasticity of the cable is 570x103 MN/m2.

A. If the elevator is staionary, by how much is the cable stretched when the elevator is 274m below earths surface.

B. If the elevator is accelerating down at 3.1m/s^2, by how much is the cable stretched when the elevator is 274m below earths surface.

C. If the elevator is accelerating up at 3.1m/s^2, by how much is the cable stretched when the elevator is 274m below earths surface.

D. For the three cases above (A-C), what is the minimum factor of safety.

Explanation / Answer

true answer is If the elevator is accelerating up at 3.1m/s^2, by how much is the cable stretched when the elevator is 274m below earths surface.

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