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A simple pendulum is made from a 50 gram lead fishing sinker and a string tied...

A simple pendulum is made from a 50 gram lead fishing sinker and a string tied to a rigid support so the string is free to swing. a) What should the length of the string be to give a period of exactly 1 second for small oscillations? b) If the string is displaced to an angle of 10 degrees from the vertical and released from rest, find the potential energy of the mass just before release. c) Given the initial condition in part b), how fast is the mass moving when it is at the bottom of its swing? d) Write an equation for the angle of the string as a function of time identifying the numerical values of A, ?, and ? in the equation ?=Acos(?t+?)

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