It may appear at first glance that Newton's 2nd and 3rd laws are independent claims. This, however, is not true - Newton's 3rd law is simply a consequence of Newton's 2nd law. In this problem, you will prove Newton's 3rd law for the normal contact force between two objects, using only Newton's 2nd law. Consider two blocks with masses my and m₂ in contact, with external forces F₁ and F₂ applied, as shown in the figure. The free body diagram for each block is also given, with internal forces fa and fo. as shown. F₁ F₂ F₁ m₁ m₂ m₁ fa fb m₂ F₂ Complete the equations of motion for the entire system, as well as blocks 1 and 2 individually. Note, the forces have a signed magnitude, where positive values correspond to the positive x-direction

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Chapter1: Units, Trigonometry. And Vectors
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Y Motion
If, in addition to the x-direction motion, the blocks translate with respect to each other in the y-direction, does the above
result change?
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yes or no¬
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Glued Together
If the blocks are glued together, the sign of f may be:
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positiv.
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Not Glued Together
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negative, Both?
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Transcribed Image Text:Y Motion If, in addition to the x-direction motion, the blocks translate with respect to each other in the y-direction, does the above result change? Select an option ✓ yes or no¬ Submit You have used 0 of 1 attempt Glued Together If the blocks are glued together, the sign of f may be: Select an option ✓ positiv. Submit You have used 0 of 1 attempt Not Glued Together If the blocks are free to separate from each other, the sign of få may be: Select an option Save negative, Both? Submit You have used 0 of 1 attempt Save positive, negative, Both ? Save Calculator
It may appear at first glance that Newton's 2nd and 3rd laws are independent claims. This, however, is not true - Newton's 3rd
law is simply a consequence of Newton's 2nd law. In this problem, you will prove Newton's 3rd law for the normal contact
force between two objects, using only Newton's 2nd law.
Consider two blocks with masses m₁ and m₂ in contact, with external forces F₁ and F2 applied, as shown in the figure. The
free body diagram for each block is also given, with internal forces fa and f, as shown.
F₁
F₁
fa
fb
ΣF =
ΣF =
m₁
m2
Submit
F₂
Complete the equations of motion for the entire system, as well as blocks 1 and 2 individually. Note, the forces have a signed
magnitude, where positive values correspond to the positive x-direction
ΣF=
= (m₁ + m₂) a
= m₁ a
= m₂ a
Use the above equations to write fa in terms of only fr:
fa =
m₁
You have used 0 of 4 attempts
m₂
F₂
Save
Calculator
Transcribed Image Text:It may appear at first glance that Newton's 2nd and 3rd laws are independent claims. This, however, is not true - Newton's 3rd law is simply a consequence of Newton's 2nd law. In this problem, you will prove Newton's 3rd law for the normal contact force between two objects, using only Newton's 2nd law. Consider two blocks with masses m₁ and m₂ in contact, with external forces F₁ and F2 applied, as shown in the figure. The free body diagram for each block is also given, with internal forces fa and f, as shown. F₁ F₁ fa fb ΣF = ΣF = m₁ m2 Submit F₂ Complete the equations of motion for the entire system, as well as blocks 1 and 2 individually. Note, the forces have a signed magnitude, where positive values correspond to the positive x-direction ΣF= = (m₁ + m₂) a = m₁ a = m₂ a Use the above equations to write fa in terms of only fr: fa = m₁ You have used 0 of 4 attempts m₂ F₂ Save Calculator
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