A physical pendulum consists of a spherical bob of radius r and mass m suspended from a
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A physical pendulum consists of a spherical bob of radius r and mass m suspended from a string (Figure). The distance from the center of the sphere to the point of support is L. When r is much less than L such a pendulum is often treated as a simple pendulum of length L.
(a) Show that the period for small oscillations is given by
the period of a simple pendulum of length L.
(b) Show that when r is much smaller than L, the period is approximately T ≈ T0 (1 + r2/5L2).
(c) If L = 1 m and r = 2 cm, find the error when the approximation T = T0 is used for this pendulum. How large must the radius of the bob be for the error to be 1%?
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Fundamentals of Ethics for Scientists and Engineers
ISBN: 978-0195134889
1st Edition
Authors: Edmund G. Seebauer, Robert L. Barry
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