Prove that Ox – Oy sin 20 + Try cos 20 2 and (Tx + 0y Ty cos 20 - Try sin 20

11

use moher

Battleships! In 1905, as part of the Russo-Japanese War, the Imperial Japanese Navy (IJN) under the command of Admiral Togo engaged the Russian fleet under the command of Admiral Rozhestvensky in the Battle of Tsushima. This was the first major naval engagement to be dominated by "big guns." In this question we will model the 12" Armstrong Whitworth guns employed by the IJN. The guns are capable of firing a 390kg shell at a speed of 732ms-1. For simplicity, we shall assume that this shell is a sphere of diameter D such that the drag due to air resistance can be approximated as 1 FD CopAv² where Cp = 1/2 is the approximate drag coefficient for a sphere, A = T(D/2)2 is the reference area, p - 1.225kgm-3 is the density of air at sea level, and v is the velocity, whence C = 16 pD? The overall force experienced by our shell in flight is hence F = mg – cvv , where m is the mass of the shell and g is the acceleration due to gravity, v= v and v^ = v/v, with v corresponding to the velocity…