**A crate with a mass of 45 kg is suspended from a massless rope that runs...

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Physics

  1. **A crate with a mass of 45 kg is suspended from a masslessrope that runs vertically upward over a light pulley. The other endof the rope is connected to a 35 kg crate, which lies on atabletop. The coefficients of the kinetic friction and the staticfriction between the crate and the surface are 0.3 and 0.5respectively. An applied force, F, pulls the 35 kg crate to theright.

  1. In the first case, the applied force is just sufficient to keepthe crates from sliding. Draw clearly labeled free-body diagramsfor each crates including all forces drawn to scale.
  2. How much force would need to be applied in this firstcase?
  3. In the second case, the 35 kg crate is sliding to the rightwith a constant velocity. Draw clearly labeled free-body diagramsfor each crate including all forces drawn to scale.
  4. How much force would need to be applied in this secondcase?
  5. In the third case, the 35 kg crate moves to the right at aconstant acceleration of 0.5 m/s2. Draw clearly labeledfree-body diagrams for each crates including all forces drawn toscale. In this instance, draw the direction of acceleration next toeach diagram.
  6. How much force would need to be applied in the third case.

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