physics question about acceleration IGNORE C 5-04 In the system shown in the fig

Question

physics question about acceleration IGNORE C 5-04

In the system shown in the figure below, a horizontal force F_x acts on an object of mass m_2 = 9.20 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 mi = 1.10 kg accelerate upward? (Indicate the direction of the force with the sign of your answer. Let the positive x direction be to the right.) Fx> N For what values of F_x is the tension in the cord zero? (Indicate the direction of the force with the sign of your answer. Let the positive x direction be to the right.) N 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

m1 = 1.10 kg    , m2 = 9.20 kg

Equation of motion of M1

T - m1*g = m1*a

For M2

F - T = m2*a

(a.) For m1 to accelerate upward

a > 0

or   FX > m1*g

or    FX > 1.10*9.8

or   FX > 10.78   N      (positive direction )

(b.) tension in string zero. that implies acceleratio of upper block must me greater than g.

FX < - (9.8*9.20)

or    FX < - (90.16) N

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