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I'm having a lot of trouble with a damped harmonic oscillator problem:

A damped harmonic oscillator consists of a block (m=2.00kg), a spring (k=10 N/m), and a damping force (F=-bv). Initially it oscillates with an amplitude of 25.0cm. Because of the damping force, the amplitude falls to 3/4 of this initial value at the completion of four osciallations. (a) What is the value of b? (b) How much energy has been "lost" during these four oscillations?

The truth is. I'm not really sure where to start. My book only gives a few equations to work with and I'm not sure how to relate them to find the value of b.

The first thing I did was find the period (T), by the equation

T=2∏ √(2.0Kg/10N/m) = 2.8s

...,but I'm not really sure what to do with it.

Any help with this would be awesome!

Thanks

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# Homework Help: Damped Harmonic Oscillator

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