Mass M is uniformly distributed along a line of length 2L. A particle with mass m is at a point P distance a above the center of the line on its perpendicular bisector. For the gravitational force that the line exerts on the particle, calculate the components perpendicular and parallel to the line. Show that your result reduces to the correct value when a gets large.

Mass M is uniformly distributed along a line of length 2L. A particle with mass m is at a point P distance a above the center of the line on its perpendicular bisector. For the gravitational force that the line exerts on the particle, calculate the components perpendicular and parallel to the line. Show that your result reduces to the correct value when a gets large.

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