An elevator cab that weighs 27.0 kN moves upward. What is the tension in the cable if the cab's speed is (a) increasing at a rate of 1.28 m/s2 and (b) decreasing at a rate of 1.28 m/s2?
A.
when speed is increasing, then
using force balance
T = m*(g + a)
T = mg + ma
(m = W/g)
T = 27000 + (27000/9.81)*1.28 = 30.522 kN
B.
when speed is decreasing, then
using force balance
T = m*(g - a)
T = mg - ma
(m = W/g)
T = 27000 - (27000/9.81)*1.28 = 23.477 kN
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