Herodotus is one of the most popular personalities, commonly known as the "father of history". Herodotus before getting recognized as a field of study was famous for the attempt to head "Histories". There are plenty of topics that entail the description of Persian supremacy and carry details of the battle between Greece and Persia as stated by the "God of History". This subject describes the battles that were fought in an era and work as historical proof of such occasions. Students who wish to pursue their career as a historian gets assignments on a regular basis, which becomes difficult for him to handle it alone without the guidance of an expert.
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Categorizing broadly, we have some well-known areas of History specializations that are studied by students across all the universities and classes that are present in a bundle. To study the History assignment in a better manner and get an in-depth known-how of each specialization, let's dive into the below listed categories described by our Herodotus assignment help experts.
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Three particles A, B and C lie in that order in a straight smooth groove so that they can only move along the x-axis. Both A and C are of unit mass whilst B is of mass M. Particle B is joined to the other two by identical linear springs of unit stiffness.
(a) If the three particles are displaced from equilibrium by distances x1, x2 and x3 show that the equations of motion are d2x1/dt2 = x2 - x1, M d2x2/dt2 = x3 - 2x2 + x1, d2x3/dt2 = x2 - x3.
(b) Prove that the frequencies of the three normal modes are given by ? = 0, 1 and ?2 = 1 + (2/M). [5 marks]
(c) Describe the motions of the particles corresponding to the normal modes.[4 marks]