Let x be the length of the rope that is hanging over the edge at a given moment in time. (a) Show that x satisfies the equation of motion d2x/dt2=gx/L. [Hint: Use F=dp/dt, which allo...Let x be the length of the rope that is hanging over the edge at a given moment in time. (a) Show that x satisfies the equation of motion d2x/dt2=gx/L. [Hint: Use F=dp/dt, which allows you to handle the two parts of the rope separately even though mass is moving out of one part and into the other.] (b) Give a physical explanation for the fact that a larger value of x on the right-hand side of the equation leads to a greater value of the acceleration on the left side. (c) W…
