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In the system shown in the figure below, a horizontal force F_x acts on an objec

ID: 1438147 • Letter: I

Question

In the system shown in the figure below, a horizontal force F_x acts on an object of mass m? m_2 = 9.5O kg. The horizontal surface is frictionless; Consider the acceleration of the sliding object as a function of F_x. For what values of F_x does the object of mass m_1 = 4.30 kg accelerate upward? (Indicate the direction of the force with the sign of your answer. Let the positive x direction be to the right.) For what values of F_x, is the tension in the cord? (Indicate the direction of the force with the sign of your answer. Let the positive x direction be to the right.) Plot the acceleration of the m_2 object versus F_x, Include values of F_x from -100 N to +100 N. (Do this on paper. Your instructor may ask you to turn in this work.).

Explanation / Answer

a)

m1 will accelerate upward if

Fx > m1g

Fx > +42.14 ( positive x axis)

b)

Tension in the cord will be zero if acceleration of m2>g towards left

Fx <= -m2 g

Fx <= -93.1 N