An elevator of mass m moving upward has two forces acting on it: the upward forc

Question

An elevator of mass m moving upward has two forces acting on it: the upward force of tension in the cable and the downward force due to gravity. When the elevator is accelerating upward, which is greater, T or w? a). Let the elevator have a mass of 1,700 kg and an upward acceleration of 2.9 m/s^2. Find T. b). The elevator of part (d) now moves with constant upward velocity of 10 m/s. Find T. c). Having initially moved upward with a constant velocity, the elevator begins to accelerate downward at 1.10 m/s2. Find T.

Explanation / Answer

T is greater a) T = mg+ma = 1700*9.8+1700*2.9 = 21590N b) T = mg = 16660N c) T = mg-ma = 1700*9.8-1700*1.1 = 14790N

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