Question: A platform, having an unknown mass, is supported by four springs, each having the same stiffness k. When nothing is on the platform, the

A platform, having an unknown mass, is supported by four springs, each having the same stiffness k. When nothing is on the platform, the period of vertical vibration is measured as 2.35 s; whereas if a 3-kg block is supported on the platform, the period of vertical vibration is 5.23 s. Determine the mass of a block placed on the (empty) platform which causes the platform to vibrate vertically with a period of 5.62 s What is the stiffness k of each of the springs?

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