Problem 1
A mass is released from rest at height above the uncompressed top of a vertical spring of stiffness . Neglect resistance and take constant . Find the maximum compression . Assume the string, pulley, electrical source, or optical apparatus is ideal as stated, and neglect any effect not specified. State a clear sign convention, identify the physical Keep one model and sign convention throughout. Reuse each intermediate result with the same convention, then check that the answer has the required physical dimensions. (a) Set up the physical relation. (b) Find an intermediate quantity. (c) Obtain the answer and check its conditions and units.
problems.proof.stepOf
problems.proof.analysis
From release to maximum compression, the mass descends by the initial gap plus the compression. This is consistent with the stated model and the chosen sign convention.