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Question: A steel wire with cross section 3 cm<sup>2</sup> has elastic limit 2.4 × 10<sup>8</sup> Pa. Find the...

A steel wire with cross section 3 cm2 has elastic limit 2.4 × 108 Pa. Find the maximum upward acceleration that can be given to a 1200 kg elevator supported by this cable if the stress is not to exceed 1/3rd of the elastic limit.

A

9 ms-2

B

10 ms-2

C

11 ms-2

D

12 ms-2

Answer

10 ms-2

Explanation

Solution

1200 × (g + a) = 13\frac { 1 } { 3 } × 2.4 × 108 × 3 × 10-4 or a = 10 ms-2