1) A block of mass 1 is initially held in place on a surface a distance away from the edge and is attached with a rope over a frictionless pulley to a second block of mass 2. The coefficient of kinetic friction between the block with mass 1 and the surface is , and the pulley has a radius , see figure 1. If at time = 0 the block 1 is allowed to move and begins sliding towards the edge of the table, compute the following in terms of 1, 2, , , and : a) Draw the free-body diagram for mass 1. b) Draw the free-body diagram for mass 2. c) Write Newtons equation in the x and y directions for mass 1. d) Write Newtons equation in the x and y directions for mass 2. e) Determine the acceleration in the y-direction for box 2. f) Determine the tension in the rope, . g) Determine the time it takes for block 1 to reach the edge of the table. h) Determine the angular acceleration of the pulley. i) Determine the angular velocity of the pulley. j) Determine the number of revolutions the pulley makes when mass 1reaches the edge of the table. k) Using the work-energy theorem and placing the origin for the gravitational potential energy at the initial location of mass 2, write an equation relating the work done by the friction force to the total change in the energy of the system from the moment mass 1 is allowed to move until mass 1 reaches the edge of the table.

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