# Atwood Machine Difference#

To minimize space usage and for effective distributed controls, packages on a factory conveyor belt descend via multi-belt sections placed horizontally on different levels with the packages changing directions when dropping from one belt to the other.

## Part 1#

If the belts are moving at a speed $$v = {{ params.v }} \ \rm{m/s}$$ and the package of mass $$m = {{ params.M }} \ \rm{kg}$$ does not slip relative to the belt prior to descent, what is the angle $$\theta$$ the resultant contact force vector makes with the belt for the time of impact. The height between the belts is $$h = {{ params.h }} \ \rm{m}$$, and the coefficient of friction is $$\mu = {{ params.mu }}$$ (Hint: The resultant is the vector sum of the normal reaction and friction force)

Please enter in a numeric value in $$\rm{N}$$.

## Part 2#

If the impact time is $$t = {{ params.t }} \ \rm{s}$$, determine the minimum extra length $$x$$ of the conveyor belt for the package to not fall off the belt.

Please enter in a numeric value in $$\rm{N}$$.