The discussion focuses on determining the unknown mass M and the spring constant k based on the oscillation periods of a mass-spring system. Initially, the mass M exhibits a period of 1.0 second. When an additional 200g is added, the period increases to 1.6 seconds. Using the formula for the period of a mass-spring system, the unknown mass M is calculated to be 100g, and the spring constant k is found to be 25 N/m. Additionally, the mass corresponding to an oscillation period of 2 seconds is determined to be 400g.
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rinspd said:An unknown mass M is found to have a period of oscillation of 1.0 second using a spring of unknown spring constant k. When an additional 200g is added to the initial mass, the period of oscillation increases by 0.6 seconds Determine: (a) The unknown mass M (g), (b) The spring constant k (N/m), and (c) the mass corresponding to an oscillation period of 2 seconds for this spring.