Question

A steel wire with cross-section 3 cm² has elastic limit 2.4 x 10⁸ N m^-2. The maximum upward acceleration that can be given to a 1200 kg elevator supported by this cable wire if the stress is not to exceed one-third of the elastic limit is (Take g = 10 m s^-2)

(a) 12 m s^-2

(b) 10 m s^-2

(c) 8 m s^-2

(d) 7 m s^-2

Answer 1

Correct option (b) 10 m s^-2

Explanation :

Maximum tension that an elevator can tolerate is

If a is the maximum upward acceleration of elevator