Solution: Centers of mass for general objects Consider the

Chapter 14, Problem 57E

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QUESTION:

Centers of mass for general objects Consider the following two- and three-dimensional regions with variable dimensions. Specify the surfaces and curves that bound the region, choose a convenient coordinate system, and compute the center of mass assuming constant density. All parameters are positive real numbers.

A region is enclosed by an isosceles triangle with two sides of length 5 and a base of length b. How far from the base is the center of mass?

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QUESTION:

Centers of mass for general objects Consider the following two- and three-dimensional regions with variable dimensions. Specify the surfaces and curves that bound the region, choose a convenient coordinate system, and compute the center of mass assuming constant density. All parameters are positive real numbers.

A region is enclosed by an isosceles triangle with two sides of length 5 and a base of length b. How far from the base is the center of mass?

ANSWER:

Solution 57E The coordinates of the cent

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