A box (m2) with mass 1.0 kg is on a frictionless plane inclined at angle θ = 30o. It is connected by a cord of negligible mass to a box (m1) with mass 3.0 kg on a horizontal frictionless surface. Box m1 is pushed with force F. What is the maximum value of F allowed so that the cord does not slack?
Fnet = ma
The Attempt at a Solution
I first tried to find the acceleration of the system without the influence of Fp, which turned out to be 1.225 m/s2. Then I reasoned that if the boxes are moving at that speed, initiated by the m2 from gravity, then that means that F + T (tension) has to equal m1a, with an "a" larger than 1.225 m/s2.
Thus, I worked with that equation, which lead to the following:
F + T = m1a
F = m1a - T
T = 3.1 N
F = (3.0 kg)(1.225 m/s2) - 3.1 N
F = 0.575 N
So does this mean that the maximum force allowed is 0.575 N?