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Gantt chart is a graphical representation of tasks, activities and their time duration to present an overall schedule of the project or assignment. Each row represents tasks with short description and adjustable column shows timelines for the completion of particular task, activity, or process. There are three types of Gantt charts mentioned below.
Gantt charts are the bar charts that showcase the amount of work that needs to be executed within a specific period of time. Different software used for Gantt chart follows:
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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]