Answer the marked (*) questions using complete solutions. 1. A uniform wooden planck of length L = 6.0 m and mass M = 90 kg rests on top of two sawhorses separated by D = 1.5 m, located between equal distances from the center of the planck. You try to stand on the right-hand end of the planck. If the planck is to remain at rest, what should be your mass? Solution: From the diagram shown below, imagine the planck as a point mass centered on its center 3.0 m 1.5 m of mass (point O). We then have two masses: planck and you. Let your mass be M. The origin x = 0 is at the center. (90 kg)(0 m) + (M)(3 m) 90 kg + M XCM = To establish equilibrium, set the center of mass to the tip of the right sawhorse. Therefore, xCM = 0.75 m. 3M 0.75 = 90 kg + M We get M = 30 kg. Question 2.* Now, let the origin x = 0 be at the tip of the right sawhorse. Show that the resulting mass does not depend on the arbitrary choice of origin.

Answer the marked () questions using complete solutions. 1. A uniform wooden planck of length L = 6.0 m and mass M = 90 kg rests on top of two sawhorses separated by D = 1.5 m, located between equal distances from the center of the planck. You try to stand on the right-hand end of the planck. If the planck is to remain at rest, what should be your mass? Solution: From the diagram shown below, imagine the planck as a point mass centered on its center 3.0 m 1.5 m of mass (point O). We then have two masses: planck and you. Let your mass be M. The origin x = 0 is at the center. (90 kg)(0 m) + (M)(3 m) 90 kg + M XCM = To establish equilibrium, set the center of mass to the tip of the right sawhorse. Therefore, xCM = 0.75 m. 3M 0.75 = 90 kg + M We get M = 30 kg. Question 2. Now, let the origin x = 0 be at the tip of the right sawhorse. Show that the resulting mass does not depend on the arbitrary choice of origin.

Foundations of Astronomy (MindTap Course List)

14th Edition

ISBN:9781337399920

Author:Michael A. Seeds, Dana Backman

Publisher:Michael A. Seeds, Dana Backman

Chapter17: Modern Cosmology

Section: Chapter Questions

Problem 32RQ: Reasoning by analogy often helps make complicated systems or abstract ideas easier to understand....

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