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Making a final exam study guide. Please show all work and explain your reasoning

ID: 1980620 • Letter: M

Question

Making a final exam study guide. Please show all work and explain your reasoning so that I may easily follow. Thank you!

An object is attached to a spring and is oscillating with amplitude A and period T. The maximum speed of the object as it passes through the equilibrium position of the spring is v. Internal friction within the spring gradually slows down the oscillations over time. Several minutes later, you find that the maximum speed of the object as it passes through the spring's equilibrium position is only v=3. For the questions below, express your answers in terms of the variables A, T and v ... do not create or include any numerical values in your final answers. Note that your answer(s)
do not necessarily have to include all three of the variables A, T and v.

(a) What is the period and amplitude of the object's oscillations at this later time?

Explanation / Answer

period = T Aw = v 3= Aw A = 3/w = 3T/2pi (since w= 2pi/T)

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