a) Three masses are set on a board with negligible mass. The center of mass of m1, m2, and m3 are located 2 m, 5 m, and 8 m from the start of the board. The masses are m1 = 10 kg, m2 = 5 kg, and m3 = 3 kg. Where should the fulcrum (triangle) be placed so that the board is balanced? This diagram illustrates a lever system with three masses (m₁, m₂, m₃) positioned at different points along a beam. The beam is supported by a fulcrum and measures distances from point O.- Mass m₁ is placed 2 meters from point O.- Mass m₂ is placed 5 meters from point O.- Mass m₃ is placed 8 meters from point O. The triangle represents the fulcrum, which is the pivot point of the lever. The distances indicate the position of each mass from the origin (O), showing how they might affect the balance and torque on this lever system.

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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a) Three masses are set on a board with negligible mass. The center of mass of m1, m2, and m3 are located 2 m, 5 m, and 8 m from the start of the board. The masses are m1 = 10 kg, m2 = 5 kg, and m3 = 3 kg. Where should the fulcrum (triangle) be placed so that the board is balanced?

This diagram illustrates a lever system with three masses (m₁, m₂, m₃) positioned at different points along a beam. The beam is supported by a fulcrum and measures distances from point O.

- Mass m₁ is placed 2 meters from point O.
- Mass m₂ is placed 5 meters from point O.
- Mass m₃ is placed 8 meters from point O.

The triangle represents the fulcrum, which is the pivot point of the lever. The distances indicate the position of each mass from the origin (O), showing how they might affect the balance and torque on this lever system.

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