Due date: Mon, Sep 30 2019 ** 34. The Atwood Machine. One of the standard physics student experiments over the last couple of centuries is what is referred to as the Atwood Machine. In our case, let us take a 2-kg mass attached to a 3-kg by a light string. The string is passed over a low-friction alumi- mass pulley so that one mass hangs down on each side of the pulley, as shown at left. Assume that there is no friction in the pulley and that the masses of both the string and pulley may be neglected. Find the acceleration of the two masses via the following procedure: num 2 3 a) Draw a free-body diagram for each of the masses separately. Note that the tension in the massless string that pulls upward upward on the 2-kg mass. on the 3-kg mass is the same as the tension pulling b) Find the net force on each mass and write down Newton's second law for each mass. c) Explain why the accelerations of both masses will have the same magnitude, but opposite directions. d) Solve the two simultaneous equations (check out Appendix A, if you want a review on how to solve simultaneous equations) and find the acceleration of the system and the tension in the string

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Chapter1: Units, Trigonometry. And Vectors
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Due date: Mon, Sep 30 2019
** 34. The Atwood Machine. One of the standard physics student experiments over the last
couple of centuries is what is referred to as the Atwood Machine. In our case, let us take a 2-kg
mass attached to a 3-kg
by a light string. The string is passed over a low-friction alumi-
mass
pulley so that one mass hangs down on each side of the pulley, as shown at left. Assume
that there is no friction in the pulley and that the masses of both the string and pulley may be
neglected. Find the acceleration of the two masses via the following procedure:
num
2
3
a) Draw a free-body diagram for each of the masses separately. Note that the tension in
the massless string that pulls upward
upward on the 2-kg mass.
on the 3-kg mass is the same as the tension pulling
b) Find the net force on each mass and write down Newton's second law for each mass.
c) Explain why the accelerations of both masses will have the same magnitude, but
opposite directions.
d) Solve the two simultaneous equations (check out Appendix A, if you want a review
on how to solve simultaneous equations) and find the acceleration of the system and the
tension in the string
Transcribed Image Text:Due date: Mon, Sep 30 2019 ** 34. The Atwood Machine. One of the standard physics student experiments over the last couple of centuries is what is referred to as the Atwood Machine. In our case, let us take a 2-kg mass attached to a 3-kg by a light string. The string is passed over a low-friction alumi- mass pulley so that one mass hangs down on each side of the pulley, as shown at left. Assume that there is no friction in the pulley and that the masses of both the string and pulley may be neglected. Find the acceleration of the two masses via the following procedure: num 2 3 a) Draw a free-body diagram for each of the masses separately. Note that the tension in the massless string that pulls upward upward on the 2-kg mass. on the 3-kg mass is the same as the tension pulling b) Find the net force on each mass and write down Newton's second law for each mass. c) Explain why the accelerations of both masses will have the same magnitude, but opposite directions. d) Solve the two simultaneous equations (check out Appendix A, if you want a review on how to solve simultaneous equations) and find the acceleration of the system and the tension in the string
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