Question: (a) A lamina has constant density p and takes the shape of a disk with center the origin and radius R. Use Newtons Law of

(a) A lamina has constant density p and takes the shape of a disk with center the origin and radius R. Use Newton’s Law of Gravitation (see Section 13.4) to show that the magnitude of the force of attraction that the lamina exerts on a body with mass m located at the point (0, 0, d) on the positive z-axis is F = 2TGmpd| VR? + d?

(b) Show that the magnitude of the force of attraction of a lamina with density p that occupies
an entire plane on an object with mass m located at a distance d from the plane is
F = 2πGmp
That this expression does not depend on d.

F = 2TGmpd| VR? + d?

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