A rope of mass 2.0 kg is fastened at one end to the ceiling of an elevator, and the other end hangs free. The elevator is moving downwards and is slowing down at a rate of 2.00 m/s^2. Find the tension in the rope at (a) the point attached to the ceiling, (b) the middle point, and (c) the lower end. Assume the density of the rope is uniform. Justify your answers by drawing free-body diagrams and applying Newton's laws. (d) Please also indicate the direction of the acceleration of the rope.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
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A rope of mass 2.0 kg is fastened at one end to the ceiling of an elevator, and the other end hangs free. The elevator is moving downwards and is slowing down at a rate of 2.00 m/s^2. Find the tension in the rope at (a) the point attached to the ceiling, (b) the middle point, and (c) the lower end. Assume the density of the rope is uniform. Justify your answers by drawing free-body diagrams and applying Newton's laws. (d) Please also indicate the direction of the acceleration of the rope.

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