A photograph of the NASA Apollo 16 Lunar Module (abbreviated by NASA as the LM) is shown...

A photograph of the NASA Apollo 16 Lunar Module (abbreviated by NASA as the LM) is shown on the surface of the Moon. Such spacecraft made six Moon landings during 1969–72. A simplified model for one of the four landing gear assemblies of the LM is shown. If the LM has 15,000 kg mass, and rests on the surface of the Moon where acceleration due to gravity is 1.62m=s², determine the force supported by members AB, AC, and AD. Assume the weight of the LM is uniformly supported by all four landing gear assemblies, and neglect friction between the landing gear and the surface of the Moon.