Solved: The analysis of a simple pendulum assumed that the

Chapter 15, Problem 15.115

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The analysis of a simple pendulum assumed that the mass was a particle, with no size. A realistic pendulum is a small, uniform sphere of mass M and radius R at the end of a massless string, with L being the distance from the pivot to the center of the sphere. a. Find an expression for the period of this pendulum. b. Suppose M = 25 g, R = 1.0 cm, and L = 1.0 m, typical values for a real pendulum. What is the ratio Treal /Tsimple, where Treal is your expression from part a and Tsimple is the expression derived in this chapter?

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