A 5.2-kg bowling ball rests on a uniform beam of length I and mass M, as in the figure. The beam is supported at two points separated by a distance BL where ß = 0.55 and the bowling ball is a distance d from support point 1. Find the largest distance dmax such that the beam does not tip if M = 15 kg and L = 4.6 m. [Note: To keep the bowling ball on the beam, report an answer of dmax ≤ L. For some values, a correct calculation gives dmax > L. That means the bowling ball can be placed anywhere on the beam without tipping and, in that case, the correct answer is dmax = L = 4.6 m.) dmax 2 k m L -BL- d M

Glencoe Physics: Principles and Problems, Student Edition
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Author:Paul W. Zitzewitz
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Chapter8: Rotational Motion
Section: Chapter Questions
Problem 90A
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A 5.2-kg bowling ball rests on a uniform beam of length I and mass M, as in the figure. The beam is
supported at two points separated by a distance BL where 3 = 0.55 and the bowling ball is a
distance d from support point 1. Find the largest distance dmax such that the beam does not tip if
M = 15 kg and L = 4.6 m.
[Note: To keep the bowling ball on the beam, report an answer of dmax ≤ L. For some values, a
correct calculation gives dmax > L. That means the bowling ball can be placed anywhere on the
beam without tipping and, in that case, the correct answer is dmax = L = 4.6 m.)
dmax
2
m
L
-BL-
d
M
Transcribed Image Text:A 5.2-kg bowling ball rests on a uniform beam of length I and mass M, as in the figure. The beam is supported at two points separated by a distance BL where 3 = 0.55 and the bowling ball is a distance d from support point 1. Find the largest distance dmax such that the beam does not tip if M = 15 kg and L = 4.6 m. [Note: To keep the bowling ball on the beam, report an answer of dmax ≤ L. For some values, a correct calculation gives dmax > L. That means the bowling ball can be placed anywhere on the beam without tipping and, in that case, the correct answer is dmax = L = 4.6 m.) dmax 2 m L -BL- d M
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