You have taken a summer job at a warehouse and have designed a
method to help get heavy packages up a 15o ramp. In your system a
package is attached to a rope which runs parallel to the ramp and
over a pulley at the top of the ramp. After passing over the pulley
the other end of the rope is attached to a counterweight which
hangs straight down. In your design the mass of the counterweight
is always adjusted to be twice the mass of the package. Your boss
is worried about this pulley system. In particular, she is
concerned that the package will be too difficult to handle at the
top of the ramp and tells you to calculate its acceleration. To
determine the influence of friction between the ramp and the
package you run some tests. You find that you can push a 50 kg
package with a horizontal force of 250 N at a constant speed along
a level floor made of the same material as the ramp.