This video explains how to evaluate a line integral involving a vector field using Green’s Theorem

# force

# Evaluate a Line Integral of F*dr Around a Circle

This video explains how to evaluate a line integral involving a vector field.

# Ex: Find the Hydrostatic Force on a Horizontal Plate (No Calculus)

This video explains how to determine the hydrostatic force on a horizontal plate. The calculation does not require calculus.

# Ex: Find the Hydrostatic Force on a Vertical Plate in the Shape of an Isosceles Triangle

This video explains how to determine the hydrostatic force on a vertical plate in the shape of an isosceles triangle in the shape of a degree 4 polynomial.

# Ex: Find the Hydrostatic Force on a Dam in the Shape of a Degree 4 Polynomial

This video explains how to determine the hydrostatic force on a vertical dam in the shape of a degree 4 polynomial.

# Ex: Find the Hydrostatic Force on a Semicircle Window Submerged in Water

This video explains how to determine the hydrostatic force on a vertical semicircle window submerged in water. (TI84 Used)

# Ex: Determine the Work Required to Pump Water Out of Trough (Quadratic Cross Section)

This video provides an example of how to determine how much work is required to pump water over the top of a trough that has a cross section of quadratic function.