# Consider the following figure. (a) Compute the vector gravitatio…

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**Question:**

Evaluate the mechanical impedance seen by the applied force driving a simple harmonic oscillator with an infinite string extending transversely from the

Consider the following figure.

(a) Compute the vector gravitational field at a point *P* on the perpendicular bisector of the line joining two objects of equal mass separated by a distance 2*a* as shown in the figure above. (Use any variable or symbol stated above along with the following as necessary: *G* for the gravitational constant.) magnitude g =

(b) Explain physically why the field should approach zero as *r* → 0.

(c) Prove mathematically that the answer to part (a) behaves in this way.

(d) Explain physically why the magnitude of the field should approach 2*GM*/*r*^{2} as *r* → ∞.

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