Question

Two masses, m1=3 kg and m2=2 kg are on a horizontal surface and are connected together...

Two masses, m1=3 kg and m2=2 kg are on a horizontal surface and are connected together via a massless rope. An external force F pulls on m1 at an angle q=30° from the horizontal, as shown in the Figure 2 below. There is friction between m2 and the surface, with coefficients of friction

ms=0.4 and mk=0.3, however the friction between m1 and the surface is negligibly small.

  1. What is the minimum value of F such that the masses will begin to move?

  2. If, instead, F=30 N, What is the tension in the rope?

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