Recent content by kieranl

  1. K

    Moment of Inertia Calculation for a Horizontal Element

    can somebody please tell what i am doing wrong with this moment of area question? question and working in the attached doc thanks a lot
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    What is the Gauge Pressure Just Downstream of a Fan in a Duct System?

    Homework Statement A duct system that exhausts air of density 1.2kg/m3 from a building out into the atmosphere is shown in fig. A2 (attachment). The air flow is driven by a fan across which is a monometer that reads 2 cm of water. The cross sectional areas of the upstream and downstream...
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    Continuous Function Homework: Determine & Sketch

    Homework Statement Determine whether the function is continuous, piecewise continuous or neither on the segment [0, 10] and sketch the graph of f(t). f(t)= {10-t, 0<=t<=8 and 10, 8<=t<=10) The Attempt at a Solution I would say that it was neither as the right hand limit at t = 8...
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    Computing the Fourier Series for f(x)=x^2

    how do you show that it converges?? just pick example numbers??
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    Computing the Fourier Series for f(x)=x^2

    the next part of the question says to determine if the function to which the Fourier series for f(x) converges?? does this make sense to anyone?
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    Computing the Fourier Series for f(x)=x^2

    Homework Statement Compute the Fourier series for the given function f on the specified interval f(x) = x^2 on the interval − 1 < x < 1 The Attempt at a Solution Just wondering if anyone can verify my answer? f(x)=1/3+\sum(4/(n^2*pi^2)*(-1)^n*cos(n*pi*x))
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    Calculating Pipe Discharge from Fluid Velocity Diagram | Tips and Tricks

    does anyone know how to go about calculating discharge from a velocity diagram of flow in a pipe? thanks for anyhelp
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    Sketching and Calculating the Volume of Solid E

    wat i have done is drawn the cylinder x = y^2 in the x-y plane and extended it along the z plane. Then i drew the z=3 plane and then drew a line z=1-x and it extended it along the y plane. But this does not end up enclosing a solid
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    Sketching and Calculating the Volume of Solid E

    Homework Statement Sketch the solid E bounded by the cylinder x = y^2 and the planes z = 3 and x + z = 1, and write down its analytic expression. Then, use a triple integral to find the volume of E. The Attempt at a Solution Was wondering if someone could have a go at drawing this sketch...
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    Finding Center of Mass for a Lamina in First Quadrant

    Homework Statement A lamina has the shape of the region in the first quadrant that is bounded by the graphs of y = sinx and y= cosx, between x = 0 and x = π/4. Find the centre of mass if the density is δ(x,y) = y. Homework Equations I know all the equations for moments and center of...
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    Max Magnitude P for Pin Shear Stress < 80 MPa

    ok. does that mean that the shear force acting at pin C would be 0.5(vertical component of T) and at pin B be 0.5(horizontal component of T) and at pin A be 0.5(horizontal component of Fa)?
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    Max Magnitude P for Pin Shear Stress < 80 MPa

    Homework Statement The beam is supported by a pin at A and a short link BC, as shown in Figure 3.0. Determine the maximum magnitude P of the loads the beam will support if the average shear stress in each pin is not to exceed 80 MPa. The diameter for each of the pins is 18 mm. The Attempt...
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    Strength of materials question

    Homework Statement A rigid steel plate is supported by three posts of high-strength concrete each having an effective cross-sectional area A =40000 mm2 and length L = 2 m. Before the load P is applied, the middle post is shorter than the others by an amount s = 1.0 mm. Determine the...
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    Sketch Region of Integration, Reverse Order, Confirm Equality

    yeh I am pretty sure i drew it properly??