- #1

- 134

- 1

## Homework Statement

A damped harmonic oscillator consists of a block (

*m*= 2.72 kg), a spring (

*k*= 10.3 N/m), and a damping force (

*F*= -

*bv*). Initially, it oscillates with an amplitude of 28.5 cm; because of the damping, the amplitude falls to 0.721 of the initial value at the completion of 7 oscillations.

**(a)**What is the value of

*b*?

*(Hint:*Assume that

*b*2 <<

*km*.)

**(b)**How much energy has been lost during these 7 oscillations?

## Homework Equations

## The Attempt at a Solution

so first to find the period

T=2pi(m/k)^0.5

=2pi(2.72kg/10.3N/m)^0.5

=3.23 seconds

I know that this will be used in finding b, along with the mass, but I am clueless where to go from here. Part b was much easier to figure out with the energy lost being 0.2 J