Find the Moment of Inertia of the plate with respect to Y- axis and its Radius of Gyration. (Present the differential of the Moment of Inertia for the corresponding element

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A: Solution written in details below

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Q: Consider the shaded area shown in (Figure 1) Suppose that a 100 mm, b= 150 mm and r=80 mm Part A…

A: Given that a=100 mm, b=150 mm and r=80 mm. So, the moment of inertia formula is, Iy=∫aby(f(x)-g(x)dx…

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Q: 1. Find the moment of inertia, with respect to the line x=1, of the area enclosed by the loop of the…

A: Given: Curve y2=x2(1-x)----(i)

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A: The curve is given by  rt=⟨3cost,3sint,4t⟩ , 0≤t≤3π2                   (i) Then,…

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Q: Find a parametrization of the tangent line at the point indicated. r(t) =〈cos 2t,sin 3t〉, t = π/4

A: Given :  r(t) =〈cos 2t,sin 3t〉, t = π/4

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A: We know that slope of a line is defined by , m=dydx. Therefore, we need to take the derivative of…

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A: image is attached

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Q: Find the moment of inertia, with respect to the line x=1, of the area enclosed by the loop of the…

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Q: Use the differential dz to approximate the change in the function z (shown in the image) as (x, y)…

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Q: Find equations for the a) tangent line and b) normal plane to the curve 1 x=t- cost, y = 3+ sin 2t,…

A: x=t-cost, y=3+sin2t, z=1+cos3t We know that rt=xt, yt, zt dxdt=1+sint, dydt=2cos2t, dzdt=-3sin3t At…

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Q: Please solve

A: Parametrization of tangent lines is given by

Q: Q 6/ Compute the moment of * the Inertia for the shaded area with respect to the Y- — axis? 2 ft --…

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Q: denote the square of the arc length differential over the surface of Z=xy. What do you need to do to…

A: The differential path length is: ds=dx2+dy2+dz2    =dx2+dy2+dxy2    =dx2+dy2+xdy+ydx2

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Q: Find an (1,1) equation of the tangent i ine at the curue yt+xy = x_x+a. on

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Q: dy +Hanx Siny = I Cos y die

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