ON THE MOVEMENT OF A FREE FALL LIFEBOAT WHEN DESCENDING FROM THE INCLINED RAMP

Abstract

The problem of the motion of a free-fall lifeboat, which is modeled by a homogeneous rod, when descending from an inclined ramp, is considered. The aim of the study is to develop and use an adequate mathematical model to study the parameters of the free-fall lifeboat when descending from a ramp inclined at an angle of 35 ° to study the effect of initial speed and length of the boat on its speed, angular velocity and pitch angle during the first phase. The solution system of ordinary differential equations is obtained and the corresponding Cauchy problem is formulated, which is solved numerically using the Runge-Kutta method. Differential equations of rod motion are compiled using Lagrange equations of the second kind. The proposed approach allows using numerical experiments to make a rational choice of motion parameters of the RSHVP, descending from the inclined ramp. Based on the results obtained, further studies should determine the effect of the angle of the ramp and the location of the center of mass of the boat on the parameters of its movement at the beginning of free fall.