This project explores whether it is safe to unload a 907kg pallet from a supply truck with a bed 1.5m off the ground by sliding it down a metal ramp. First we calculated the critical angle for which the pallet would overcome the friction of the wood on the metal and begin to slide. Next we calculated velocity of the pallet as it reaches the bottom of the ramp. Finally we calculate the distance the pallet travels on the concrete after leaving the ramp. Based on these calculations of acceleration, velocity, and displacement, we conclude that it would not be safe to unload the truck in this manner.
Undergraduate Journal of Mathematical Modeling: One + Two:
2, Article 8.
DOI: http://dx.doi.org/10.5038/2326-3622.214.171.124 Available at: http://scholarcommons.usf.edu/ujmm/vol3/iss2/8
Arcadii Grinshpan, Mathematics and Statistics
Colt Russelo, Publix Supermarkets: Customer Service