A piano is being moved into a concert hall up a 15m ramp that has a final height of 1.5m. To help with the weight, a rope has been tied between the piano and a counterweight through two pulleys. One at the top of the ramp and the other off the edge of the loading dock so that the weights can hang freely. If the massof the piano is 270 kg and the counter weight is 61 kg and the frictional coefficient of the piano on the ramp is 0.12. What is the acceleration of the piano? Assume the rope pulls parallel to the ramp's slope.

Question

A piano is being moved into a concert hall up a 15m ramp that has a final height of 1.5m.  To help with the weight, a rope has been tied between the piano and a counterweight through two pulleys. One at the top of the ramp and the other off the edge of the loading dock so that the weights can hang freely. If the massof the piano is 270 kg and the counter weight is 61 kg and the frictional coefficient of the piano on the ramp is 0.12.  What is the acceleration of the piano? Assume the rope pulls parallel to the ramp's slope.