In both cases, a free-body diagram for the elevator would look like the adjacent diagram. Choose up to be the positive direction. To find the MAXIMUM tension, assume that the acceleration is up. Write Newton's second law for the elevator. 16. mg F ="la + mg = m(a+g)-m(0.0680g+g)-(4850 kg)(1 0680)(9.80m/s2) 5.08x10'N To find the MINIMUM tension, assume that the acceleration is down. Then Newton's second law for the elevator becomes the following. - (4850 kg) (0.9320) (9.80m/s2)-4.43x10 N

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 37P: An elevator filled with passengers has a mass of 1.70103kg . (a) The elevator accelerates upward...
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an elevator (mass 4850kg) is to be designed so that the max acceleration is 0.0680g. what are the max and min forces the motor should exert on the suporting cable? 

1. why did they add 1. wouldn't it just be Fn=m(a+g), which would be 4850(0.680g+ 9.8)?

In both cases, a free-body diagram for the elevator would look like the adjacent
diagram. Choose up to be the positive direction. To find the MAXIMUM tension,
assume that the acceleration is up. Write Newton's second law for the elevator.
16.
mg
F ="la + mg = m(a+g)-m(0.0680g+g)-(4850 kg)(1 0680)(9.80m/s2)
5.08x10'N
To find the MINIMUM tension, assume that the acceleration is down. Then Newton's second law
for the elevator becomes the following.
- (4850 kg) (0.9320) (9.80m/s2)-4.43x10 N
Transcribed Image Text:In both cases, a free-body diagram for the elevator would look like the adjacent diagram. Choose up to be the positive direction. To find the MAXIMUM tension, assume that the acceleration is up. Write Newton's second law for the elevator. 16. mg F ="la + mg = m(a+g)-m(0.0680g+g)-(4850 kg)(1 0680)(9.80m/s2) 5.08x10'N To find the MINIMUM tension, assume that the acceleration is down. Then Newton's second law for the elevator becomes the following. - (4850 kg) (0.9320) (9.80m/s2)-4.43x10 N
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