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12.C2 A small, 454 gm block is at rest at the top of a cylindrical surface. The block is given an initial velocity vo






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12.C2 A small, 454 gm block is at rest at the top of a cylindrical surface. The block is given an initial velocity vo to the right of magnitude 3 m/sec, which causes it to slide on the cylindrical surface. Using computational software calculate and plot the values of 0 at which the block leaves the surface for values of the coefficient of kinetic friction between the block and the surface, from 0 to 0.4. 2 m (5 points) Suppose A and B are two surfaces with common boundary curve C, as depicted. below. Let n be the outward pointing normal vector. (You might imagine two balloons glued together along their opening.) Suppose F is a vector field for which Stokes' Theorem applies. Explain how the values of the surface integrals (VF) ndo and (VF) ndo are related. Clearly explain your reasoning. No explicit computation is required. In Exercises 13-16, a closed surface S and a vector field F are given. Find the outward flux of F over S either through direct computation or through the Divergence Theorem. 13. S is the surface formed by the intersections of z = 0 and z = (x - 1) (y 1); F = (x+1. yz, xz).

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