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Flibberti

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To understand centripetal force due to friction better, I came up with this problem. I'm not entirely sure of my solution, though, so I'd be glad if someone else took it up too and suggested a way to work it out:

Two identical blocks, each of mass m, connected by a spring of spring constant k are placed on a disc of radius R rotating with an angular velocity ω. The natural length of the spring is l (<2R), and the spring is placed with its midpoint at the centre of the disc. The maximum possible frictional force on each block is inadequate to make the blocks move with uniform angular velocity ω at their positions. Describe the motion of the blocks- what will the final extension of the spring be? (The coefficient of friction between the blocks and the surface is n.)

Two identical blocks, each of mass m, connected by a spring of spring constant k are placed on a disc of radius R rotating with an angular velocity ω. The natural length of the spring is l (<2R), and the spring is placed with its midpoint at the centre of the disc. The maximum possible frictional force on each block is inadequate to make the blocks move with uniform angular velocity ω at their positions. Describe the motion of the blocks- what will the final extension of the spring be? (The coefficient of friction between the blocks and the surface is n.)

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