# 2D Moments When computing the 2D moment about a pivot axis named â‚¬ , caused by a force distributed over

###### Question:

2D Moments When computing the 2D moment about a pivot axis named â‚¬ , caused by a force distributed over an area, the work expectations are: 1. State the axis of integration: x-axis for thin vertical slices of width dx Y-axis for thin horizontal slices of width dy. Orient the typical slice parallel to the pivot axis. (Note: We do not present perpendicular slicing in this setting:) 2. Include a properly labeled graph (labeled axes with units and a scale) of the region: Draw and label a typical slice that matches your axis of integration: 3. Find the area, dA, of the slice. 4. Find the force (weight) on the slice, dF . Find the distance from the slice to the pivot axis_ Use the force on the slice and the distance to the pivot axis to find the moment of the slice, dMe _ 5. Find the bounds for the region in terms of the variable of integration: 6. Write an integral that computes the total moment_ 7. Compute the resulting integral using the FTC (or computer software) .

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