Systems of Objects with Friction Practice Problems

Two wooden blocks are connected using an inelastic wire. The blocks are placed on a horizontal floor. The mass of block P is m_P while block Q has a mass m_Q. You pull the blocks to the left using a horizontal force F, giving the blocks a constant velocity. The coefficient of kinetic friction between both blocks and the surface is μ_k. Determine the tension in the wire connecting the blocks in terms of m_P, m_Q, and μ_k with the help of one or more free-body diagrams.

Two wooden blocks are connected using an inelastic wire. The mass of block P is m_P while block Q has a mass m_Q. The blocks are placed on a horizontal bench. You pull the blocks to the left using a horizontal force F, giving the blocks a constant velocity. The blocks experience the same coefficient of kinetic friction, μ_k. Determine the magnitude of F in terms of m_P, m_Q, and μ_k with the help of one or more free-body diagrams.