Atwood Machine Difference

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)

Answer Section#

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

Part 2#

../../../../../_images/Conveyor2.png

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.

Answer Section#

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

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.