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Your physics class built a model of our central government having five political leaders, each represented by a massive block of ice (mass M) and

Your physics class built a model of our central government having five political leaders, each represented by a massive block of ice (mass M) and joined at its Centre to two identical neighbors by massless ropes (length L) as shown. This forms a closed ring resting on a frictionless frozen horizontal lake. Initial use of blasts from air hoses sets up a uniform circular motion of the entire ring about the central point C, but from then on it coasts around at a constant rate of exactly two revolutions per minute. The only horizontal forces acting are the tensions in the five ropes. Given that L = 123 m and M = 234 kg, calculate the magnitude of the tension force in each rope. (Answer: 914 N)

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