Two identical heavy spheres are seperated by distance 10 times their radius. Will an object placed at the mid point of the line joining their centres be in a stable equilibrium or unstable equilibrium ? Give reason for your answer.

Glencoe Physics: Principles and Problems, Student Edition
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Chapter8: Rotational Motion
Section: Chapter Questions
Problem 82A
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Two identical heavy spheres are seperated by distance 10 times their radius. Will an object placed at the mid point of the line joining their centres be in a stable equilibrium or unstable equilibrium ? Give reason for your answer.

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Step 1

The force on the object placed at midpoint due to the both spheres is,

Physics homework question answer, step 1, image 1
Step 2

Now considering the object is moving towards right by a distance r.

Now the force acting towards left side sphere is,

Physics homework question answer, step 2, image 1
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