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An elevator consists of the elevator cage M and counterweight m, driving mechanism C and cables and pulleys as shown. M = 1000 Kg, m = 1400 kg The elevator is accelerating upward at 2.30 m/s 2 . Find (a) T 1 , (b) T 2 and the force exerted by the driving mechanism C on the cable.

An elevator consists of the elevator cage M and counterweight m, driving mechanism C and cables and pulleys as shown.


M = 1000 Kg, m = 1400 kg


The elevator is accelerating upward at 2.30 m/s2.


1229_88601_Image~ 1.jpg


Find (a) T1, (b) T2


and the force exerted by the driving mechanism C on the cable.

Grade:10

1 Answers

Deepak Patra
askIITians Faculty 471 Points
7 years ago

From the free body diagrams

Ma = T1 – Mg                              ma = mg – T2

(a)    T1 = M (a + g)                    (b)    T2 = m(g – a)

= 12.1 kN                                  = 10.5 kN

761_88602_Image~ 1.jpg

Assume the cable is massless. Mass even though it is accelerating no net force acts on it.

This means T2 + C2 = T1

C2 = 1.6 kN towards the counter weight.

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