Rubber bumpers are commonly used in marine applications to keep boats and ships from getting damaged by docks. Consider a boat with a mass of 35;000 kg and a bumper with a force compression profile given by { F }_{ B }=\beta { x }^{ 3 }, where is a constant and x is the compression of the bumper. Treating the boat C as a particle, neglecting its vertical motion, and neglecting the drag force between the water and the boat C, determine \beta so that if the boat were to impact the bumper with a speed of 4m/s, the maximum compression of the bumper would be 18 cm.
Question : Rubber bumpers are commonly used in marine applications to k...
