A particle of mass 3m is located 1.00 m from a particle of mass m. (a) Where should you put a third mass M so that the net gravitational force on M due to the two masses is exactly zero? (b) Is the equilibrium of M at this point stable or unstable (i) for points along the line connecting m and 3m, and (ii) for points along the line passing through M and perpendicular to the line connecting m and 3m?
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A particle of mass 3m is located 1.00 m from a particle of mass m.
(a) Where should you put a third mass M so that the net gravitational
force on M due to the two masses is exactly zero? (b) Is the equilibrium
of M at this point stable or unstable (i) for points along the line connecting
m and 3m, and (ii) for points along the line passing through M and
perpendicular to the line connecting m and 3m?
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