7.83 ... CALC A cutting tool under microprocessor control has several forces acting on it. One force is F = -axy'j, a force in the negative y-direction whose magnitude depends on the posi- tion of the tool. The constant is a = 2.50 N/m*. Consider the displacement of the tool from the origin to the point x = 3.00 m, y = 3.00 m. (a) Calculate the work done on the tool by F if this displacement is. along the straight line y = x that connects these two points. (b) Calculate the work done on the tool by F if the tool is first moved out along the x-axis to the point x = 3.00 m, y = 0 and then moved parallel to the y-axis to the point x = 3.00 m, y = 3.00 m. (c) Compare the work done by É along these two paths, Is F conservative or nonconservative? Explain. %3D

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7.83 •.. CALC A cutting tool under microprocessor control has
several forces acting on it. One force is F = -axy'j, a force in
the negative y-direction whose magnitude depends on the posi-
tion of the tool. The constant is a =
2.50 N/m. Consider the
displacement of the tool from the origin to the point x = 3.00 m,
y = 3.00 m. (a) Calculate the work done on the`tool by F if this
displacement is along the straight line y = x that connects these
two points. (b) Calculate the work done on the tool by É if the
tool is first moved out along the x-axis to the point
x = 3.00 m, y = 0 and then moved parallel to the y-axis to the
point x = 3.00 m, y = 3.00 m. (c) Compare the work done by F
along these two paths. Is F conservative or nonconservative?
Explain.
a 2^
Transcribed Image Text:7.83 •.. CALC A cutting tool under microprocessor control has several forces acting on it. One force is F = -axy'j, a force in the negative y-direction whose magnitude depends on the posi- tion of the tool. The constant is a = 2.50 N/m. Consider the displacement of the tool from the origin to the point x = 3.00 m, y = 3.00 m. (a) Calculate the work done on the`tool by F if this displacement is along the straight line y = x that connects these two points. (b) Calculate the work done on the tool by É if the tool is first moved out along the x-axis to the point x = 3.00 m, y = 0 and then moved parallel to the y-axis to the point x = 3.00 m, y = 3.00 m. (c) Compare the work done by F along these two paths. Is F conservative or nonconservative? Explain. a 2^
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