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Three timbers are placed on a surface in a way that their centers make an equilateral...

Three timbers are placed on a surface in a way that their centers make an equilateral triangle. A constant force F= 1.0 N is then applied to one of them as shown below. What is the range of acceleration that would allow the timbers to remain in contact?

Suggested approach: take timbers as identical cylinders and identify all the forces on each of them. Draw free-body diagrams and apply Newton’s 2nd law. Solve the system of equations to find the inter-cylinder forces. At the moment the timbers lose contact the forces between them would become zero. Find the range of acceleration that keeps the forces nonzero. Write the final results in terms of g.

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