Figure 1 shows a box of mass m2=1.0 kg on a frictionless plane inclined at angle θ=30°. It is
connected by a cord of negligible mass to a box of mass m1=3.0kg on a horizontal frictionless
surface. The pulley is frictionless and massless.
(a) Choose the direction of your coordinate system.
(b) Identify all forces acting on m1and m2.
(c) Write down Newton’s 2nd law for m1 and m2.
(d) If the magnitude of horizontal force F is 2.3 N, what is the tension T in the connecting cord?
(e) What is the largest value the magnitude of F may have without the cord becoming slack?
The Attempt at a Solution
For (a), does question seem to ask me to draw the coordinate system I want to employ, and label the axes?
For (e), I am sort of confused as to how to answer the question. From the diagram, the direction suggests that the question i impossible to answer, for it acts in the direction of the tension force. Wouldn't F have to be zero, because, if it weren't, then it would cause m1 to accelerate even more, under the influence of both T and F, and m1 would push into the string, causing it to bunch up, whereby it won't be taut any longer.