K= arsinØ + aØ6cosØ and the quarter circle zone is given. Provide Stokes ' Theorem by finding the rotation of the vector K. note: Take r yi 6.
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K= arsinØ + aØ6cosØ and the quarter circle zone is given. Provide Stokes ' Theorem by finding the rotation of the vector K. note: Take r yi 6.
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- Determine the angle 0 between the 350-lb force and the line OC.For vector field v(x, y) = (-xy, y), find all points P such that the amount of fluid flowing in to Pequals the amount of fluid flowing out of P. Select the correct answer below: O At all points P O At all points P, where y s0 O At all points P, where y = 1 O At all points P, where y = xThe cross product AxB is perpendicular to both vectors in the cross product (think of Aand В as lying on a sheet of paper; the cross product is perpendicular to the plane of the sheet). After figuring out the two directions perpendicular to both vectors you use one of the right hand rules given on Page 338 to choose which of the two direction is correct. All three should give the same result so use whichever one you are most comfortable with. In class, we will use the middle one in the diagram in the book. The vector torque is where "is the vector from the axis of rotation to where the force is applied. Which is the direction of the torque vector? +y ++ * (in) +z (out) O = in (O) = out
- Sketch how water curls down a sink, say, in clock-wise rotation. Draw the resulting vector of the curl-operator applied on this water flow.Using spherical polar coordinates r, 0, p to find CM of a uniform solid hemisphere of radius R, whose flat face lies in the xy plane with its center at the origin. The element of volume is in spherical polars of dV = r² dr sine de dip.Find a polar equation for the conic Parabola with its focus at the pole and the given vertex (3, π).