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Introductory Physics Homework Help
A thin steel plate is in the shape of a half circle
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[QUOTE="Melina, post: 6019380, member: 647529"] [h2]Homework Statement [/h2] The [B]half [/B]thin steel plate has a radius of 4 meters and a surface density of (3+r) kg/m^2, where r is the radial distance from the origin. Using calculus, find: A. its area B. its mass C. Its center of mass with respect to the origin shown, D. It's rotational inertia about the j axis E. Its rotational inertia about an axis parallel to the j axis and passing through the center of mass. [h2]Homework Equations[/h2] d=v0 t + (1/2)at^2 a=v^2 / r v=v0 + at v=dx/dt a= dv/dt σ = dm/dA φ = dm/dV I = r^2 dm Ix+Iy = Iz I = ICM + m k^2 (CM:center of mass subscript) Discrete masses: xCM = ∑mixi (CM:center of mass subscript) i ----------- ∑mi i continuous mass distributions: xCM = 1/M ∫x dm (CM:center of mass subscript) [h2]The Attempt at a Solution[/h2] A. A= 1/2 pi R^2 =8pi B. C. D. E. [/QUOTE]
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Introductory Physics Homework Help
A thin steel plate is in the shape of a half circle
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