Question

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

m_s=0.4 and m_k=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?

Answer 1

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