1. Three point-masses lie in a plane and are connected by masses rods so that they cannot move relative to each other. The masses and their positions are: m₁ = 2.1 kg at (-9, - 3) m2 = 2.6 kg at (5, 10) m3 = 4.1 kg at (-9, 5) with distances in meters. Calculate the location of this system's center of mass. 2. Find the center of mass of the region bounded by z = 1 - x²-y², z = 0, with mass density p = k(x² + y²).

1. Three point-masses lie in a plane and are connected by masses rods so that they cannot move relative to each other. The masses and their positions are: m₁ = 2.1 kg at (-9, - 3) m2 = 2.6 kg at (5, 10) m3 = 4.1 kg at (-9, 5) with distances in meters. Calculate the location of this system's center of mass. 2. Find the center of mass of the region bounded by z = 1 - x²-y², z = 0, with mass density p = k(x² + y²).

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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