In the system shown in the figure below, a horizontal force Farrowbold x acts on

Question

In the system shown in the figure below, a horizontal force Farrowbold x acts on an object of mass m2 = 8.60 kg. The horizontal surface is frictionless. Consider the acceleration of the sliding object as a function of Fx. For what values of Fx does the object of mass m1 = 4.50 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 Fx 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.)

Explanation / Answer

a)

for m1 to move upwards

Tension must be greater than weight of the block m1

limiting condition

T = m1g = 4.5*9.8 = 44.1 N

so Fx = T

Fx has to be > 44.1

b)

for the tension to be zero m1 must move downwards

Tension zero means its free falling

acceleration = 9.8

F = m2*g = 84.28 N

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