i need help in statics and dynmics
Egr 2213 Final Project
Benjamin Morgan
S
Purpose of this Project
The purpose of this project is to determine the amount of force that was applied to my wrist which caused it to fracture and the speed that I injured my wrist
How the Fracture Happened
The fracture happened after I went down an Inclined road on my longboard and hit a speed bump causing me to fall backwards.
Known Measurements
Length of the incline road: 90 meters
Coefficient of Kinetic friction between the wheels and the road: .057
Weight of me and the board: 115 kg
Initial speed: 5 miles per hour
Angle of incline: 15 degrees
Initial speed: 6.7 meters/second
Free Body Diagram
115 Kg
Normal Force
Friction Force
Weight Force
Force Calculations
Weight force: Fg=m*g=115Kg*-9.81m/s^2=1128N
Fgy=Fg*cos(15)=1089.7N
Fgx=Fg*sin(15)=292.0N
Normal Force: Fn=-Fgy= -1089.7 N
Force of rolling friction: μ*Fn=.057*-1089.7=-62.1N
Speed at time of Impact
Acceleration: a=Fx/m=(292-62.1)/115=2 m/s^2
Velocity: V= sqrt((Vo^2)+2a*d)=sqrt((2.2^2)+2*2*90)
V=19.1m/s