please help me, my question has been continuously rejected because i didn't submit my question under advanced physics but i did submit it under advance physicsthis is for mathematical modelingplease help me with #2 a), b), c) and d)thank you! 2. (Further analysis of the nonlinear pendulum ) Consider the nonlinearpendulum equation:d20gsin (0)dt2In class we obtained the conservation of energy equation:2deLcos (0)) = Eg (1dt2(a.) What is the value of total energy E when the pendulum is hangingvertically downwards and is at rest?(b.) What is the value of total energy E when the pendulum is balancedvertically upwards and is at rest?(c.) For what range of total energy values E does the pendulum "loop"?Explain(d.) Show that the "separatrix" (the curve that separates differentkinds of behavior) for the nonlinear pendulum is given by(ay)deL= 2g (1 + cos(0)dt

(a) Calculating the total energy when the pendulum is vertically downward and at rest:

Answered: 2. (Further analysis of the nonlinear…

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