Determine the moments of inertia of the shaded area about thex- and y-axes. Also determine the polar moment of inertia about point O. -0.59h 0.59h 0.76h! Answers: Ix = i h4 ly= i h4 lo= i h4
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Q: Determine the moments of inertia of the shaded area about the x- and y-axes. Also determine the…
A: ∵ tan α = 0.59 hh→ α = tan-1(0.59)→ α = 30.54° = 0.533 Radian
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A: AreaA=∫-55ydx=∫054.5-0.1x2dx×24.55-0.1×533×2A=36.67ft2
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- Using integration, compute the polar moment of inertia about point O for the circular sector. Check your result with Table 9.2.The moments of inertia of the plane region about the x- and u-axes are Ix=0.4ft4 and Iu=0.6ft4, respectively. Determine y (the y-coordinate of the centroid C) and Ix (the moment of inertia about the centroidal x-axis).The product of inertia of triangle (a) with respect to its centroid is Ixy=b2h2/72. What is Ixy for triangles (b)-(d)? (Hint: Investigate the signs in the expression Ixy=IxyAxy.)
- Using Ix and Iu from Table 9.2, determine the moment of inertia of the circular sector about the OB-axis. Check your result for =45 with that given for a quarter circle in Table 9.2.The moment of inertia of the plane region about the x-axis and the centroidal x-axis are Ix=0.35ft4 and Ix=0.08in.4, respectively. Determine the coordinate y of the centroid and the moment of inertia of the region about the u-axis.The moments of inertia about the x- and u-axes of the plane region areIx = 14 × 10^9 mm^4 and Iu = 38 × 10^9 mm^4, respectively. If h = 200 mm, determine the area of the region, and the radius of gyration about the centroidal axis parallel to the x-axis.
- what is the right answer and solution? Determine the moments of inertia of the shaded area about the x- and y-axes. Also determine the polar moment of inertia about point O.Find the moment of inertia for the cross-sectional shape about the x andy axes, given: L1 = 6 in, L2 = 5 in, L3 = 4 in, L4 = 1 in Find: Ix and IyDetermine the moment of inertia about the horzontal axis through the centroid, x bar of the composite shape. Also, determine the moment of inertia about the vertical axis through the centroid, y bar of the composite shape
- The shaded area has the following properties: Ix=1.26x10^6 mm^4, Iy=6.55x10^5 mm^4, Pxy=-1.02x10^5 mm^4 Determine the moment of inertia about the x' axis if theta =30 degrees and the moments of inertia about the y' axis if theta=30 degreesCalculate and determine the Moments and Principal Axes of Inertia of the profile below, indicating the best position to use the profile.Where:h = 21 cmb = 28 cmDetermine the moments of inertia Ix and Iy of the shaded area, with respect to an axis passing through GH and FH respectively.