A block that has a mass equal to is supported from below

Chapter , Problem 93

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A block that has a mass equal to is supported from below by a frictionless horizontal surface. The block, which is attached to the end of a horizontal spring that has a force constant oscillates with an amplitude When the spring is at its greatest extension and the block is instantaneously at rest, a second block of mass is placed on top of it. (a) What is the smallest value for the coefficient of static friction such that the second object does not slip on the first? (b) Explain how the total mechanical energy the amplitude the angular frequency and the period of the system are affected by the placing of on assuming that the coefficient of friction is great enough to prevent slippage.