A pendulum is formed of a particle of mass 100g suspended from the end of an inextensible string of negligible mass and of length L=100cm. The pendulum is shifted by an angle of 60 degrees from its equilibrium position about a horizontal axis passing through the other end of the string and released without initial velocity .The string is still stretched .Take the reference level of the gravitational potential energy as that of a horizontal plane containing the equilibrium position of the particle .Neglect friction.
a) Calculate the mechanical energy of the system S(pendulum, Earth, support).
b)Find in terms of theta (theta<60) the expressions for the kinetic and the potential energies of the system S.
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