A passenger is standing on a scale in an elevator. The building has a height of 500 feet, the passenger has a mass of 80 kg, and the scale has a mass of 7 kg. The scale sits on the floor of the elevator. (It is an Otis elevator, so we will label it as "O" so as not to confuse its forces with those caused by the earth.) You may take g = 10 N/kg. For doing this problem it might be useful to start by drawing free-body diagrams for the passenger and the scale.Consider the vertical forces acting on the passenger and the scaleWE→P: The force of the earth pulling down on the passenger (weight).WE→S: The force of the earth pulling down on the scale (weight).NP→S: The force of the passenger pushing down on the scale (normal).NS→P: The force of the scale pushing up on the passenger (normal).NO→S: The force of the elevator pushing up on the scale (normal).NO→P: The force of the elevator pushing up on the passenger (normal)a) While it is accelerating downward, which of the forces in your diagrams have the same magnitude? For each equality you claim, explain what foothold principle makes you think that they are equal. b) While it is accelerating downward, what does the scale read (in newtons)?

Given: h - 500 ft M- 80 kg m - 7 kg

Answered: A passenger is standing on a scale in…

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

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A passenger is standing on a scale in an elevator. The building has a height of 500 feet, the passenger has a mass of 80 kg, and the scale has a mass of 7 kg. The scale sits on the floor of the elevator. (It is an Otis elevator, so we will label it as "O" so as not to confuse its forces with those caused by the earth.) You may take g = 10 N/kg. For doing this problem it might be useful to start by drawing free-body diagrams for the passenger and the scale.

Consider the vertical forces acting on the passenger and the scale

W_E→P: The force of the earth pulling down on the passenger (weight).
W_E→S: The force of the earth pulling down on the scale (weight).
N_P→S: The force of the passenger pushing down on the scale (normal).
N_S→P: The force of the scale pushing up on the passenger (normal).
N_O→S: The force of the elevator pushing up on the scale (normal).
N_O→P: The force of the elevator pushing up on the passenger (normal)

a) While it is accelerating downward, which of the forces in your diagrams have the same magnitude? For each equality you claim, explain what foothold principle makes you think that they are equal.

b) While it is accelerating downward, what does the scale read (in newtons)?

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