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why scale will show less weight readings?

why scale will show less weight readings?

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 59PQ
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I understand that center of the masses will move down with downward acceleration and have downward force  and increasing the Weight of the system 

But why scale will show less weight readings? Can you explain through formulas and or body diagram. 

Thanks

// / |/// Scale m2 m1 While doing an experiment with an Atwood's machine, two students hang the appara- tus from a scale as shown. The hanging object m, has a larger mass than the hanging object mj. The students are surprised to notice that when the objects are released from rest, the reading on the scale changes. Explain why the scale reading changes. As part of your explanation, indicate whether the scale reading increases or decreases.
Transcribed Image Text:// / |/// Scale m2 m1 While doing an experiment with an Atwood's machine, two students hang the appara- tus from a scale as shown. The hanging object m, has a larger mass than the hanging object mj. The students are surprised to notice that when the objects are released from rest, the reading on the scale changes. Explain why the scale reading changes. As part of your explanation, indicate whether the scale reading increases or decreases.
Da NS we R The center of mass of the two-object system will be located closer to the falling, more massive object. As the more massive object falls, the center of mass of the system drops. As the center of mass was initially not moving, the center of mass therefore has a downward acceleration, and there must be a net downward force on the system. Therefore, the system's weight (the downward force of Earth on the objects) is greater than the upward force of the spring scale on the objects; so the scale reading drops when the objects are released.
Transcribed Image Text:Da NS we R The center of mass of the two-object system will be located closer to the falling, more massive object. As the more massive object falls, the center of mass of the system drops. As the center of mass was initially not moving, the center of mass therefore has a downward acceleration, and there must be a net downward force on the system. Therefore, the system's weight (the downward force of Earth on the objects) is greater than the upward force of the spring scale on the objects; so the scale reading drops when the objects are released.
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