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75.0-kg and 5.00-m plank is supported by two fulcrums (take the left end to be the origin x=0). When the fulcrums are at x=0 and x=2.50 m, the plank is in equilibrium. However, when the fulcrums are at x=2.00 m and x=2.50 m, the plank starts to rotate, with its left end falling to the ground. To keep the equilibrium while in this configuration, a mass 21.75 kg is placed at x=5.00 kg. Where is the center of gravity of the plank located with respect to the left end?

75.0-kg and 5.00-m plank is supported by two fulcrums (take the left end to be the origin x=0). When the fulcrums are at x=0 and x=2.50 m, the plank is in equilibrium. However, when the fulcrums are at x=2.00 m and x=2.50 m, the plank starts to rotate, with its left end falling to the ground. To keep the equilibrium while in this configuration, a mass 21.75 kg is placed at x=5.00 kg. Where is the center of gravity of the plank located with respect to the left end?

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 14OQ: A rod 7.0 m long is pivoted at a point 2.0 m from the left end. A downward force of 50 N acts at the...
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A 75.0-kg and 5.00-m plank is supported by two fulcrums (take the left end to be the origin x=0). When the fulcrums are at x=0 and x=2.50 m, the plank is in equilibrium. However, when the fulcrums are at x=2.00 m and x=2.50 m, the plank starts to rotate, with its left end falling to the ground. To keep the equilibrium while in this configuration, a mass 21.75 kg is placed at x=5.00 kg. Where is the center of gravity of the plank located with respect to the left end?

A. 1.50 m
B. 1.13 m
C. 1.35 m
D. 2.00 m
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