Consider a thin plate of constant density d lying in the regionbounded by the graphs of y = √x and x = 2y. Find the plate’s moment about the line y = -3.
Consider a thin plate of constant density d lying in the regionbounded by the graphs of y = √x and x = 2y. Find the plate’s moment about the line y = -3.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Question
Consider a thin plate of constant density d lying in the region
bounded by the graphs of y = √x and x = 2y. Find the plate’s moment about the line y = -3.
Expert Solution
Step 1
Given Data
The density of a thin plate is d.
The first equation is y=√x.
The second equation is x=2y.
Consider the equation of upper curve f(x)= y=√x and the equation of the lower curve is,
Step 2
Substitute the values form equation y=√x in equation x=2y,
The expression for the moment of plate about the line y=-3 is,
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