Explanation Section 1: To determine : The x -coordinate of the center of gravity of the boomerang. Answer : The x -coordinate of the center of gravity of the boomerang is 0 m . Explanation : Given info : The angle of legs of the boomerang from the vertical axis is 40.0 ° and the length of the leg is 0.300 m . By treating the legs of the boomerang as uniform thin rods, the center of the gravity of each rod is positioned at the center of the geometric axis of the boomerang. The x component of the center of gravity of the boomerang is located at x = 0 m because of symmetry of the legs of the boomerang. Conclusion : Therefore, the x -coordinate of the center of gravity of the boomerang is 0 m . Section 2: To determine : The y -coordinate of the center of gravity of the boomerang. Answer : The y -coordinate of the center of gravity of the boomerang is − 9.64 × 10 − 2 m . Explanation : Given info : The angle of legs of the boomerang from the vertical axis is 40.0 ° and the length of the leg is 0.300 m . The y component of the center of gravity of the boomerang is located at half of the height of the boomerang by its symmetry. The formula for the y co-ordinate of the center of gravity of the boomerang is, y cm = − l sin θ 2 l is length of legs of the boomerang

11th Edition

ISBN: 9781305952300

Author: Raymond A. Serway, Chris Vuille

Publisher: Cengage Learning

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Center of Gravity of a system

The centre of gravity is a property that is based on the geometry of a rigid body or any particle. It is described as an equilibrium point or a hypothetical location where the total weight of the body is concentrated.

Question

Chapter 8, Problem 12P

To determine

The x -and y -coordinates of the center of gravity of the boomerang.

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The x -and y -coordinates of the center of gravity of the boomerang.

Solution Summary: The author explains how the x - and y-coordinates of the center of gravity of a boomerang are located at half of its height by its symmetry.

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The x -and y -coordinates of the center of gravity of the boomerang.

Chapter 8 Solutions