Damped Simple Harmonic Motion - Finding drag constant

Thread starter elemis
Start date Apr 10, 2013
Tags

Constant Damped Drag Harmonic Harmonic motion Motion Simple harmonic motion

1 reply · 2K views · last reply Apr 10, 2013

elemis

Thread starter
Apr 10, 2013

Homework Statement

Part (iv)

Scanned exam question 1 on a PDF page about a cannon ball and billiard ball coupled by a spring, with parts (i) to (v) and a hint giving the damped oscillator equation, its solution and the definitions of p, omega, gamma, Q.

The Attempt at a Solution

My attempt is below. Is it correct ?

Handwritten derivation on lined paper, rotated sideways: boxed formulas w0 = 2π/T and w = 2π/T', then p^2 = 8^2/4 type steps, w^2 = w0^2 - δ^2, w^2 = 2π... leading to δ = 2√π, followed by Q = 2π/(2√π^2) = 0.577 labelled lightly damped, and γ×m = b, γ×0.2 = b = 2.18.

Homework Statement

Discussion

rude man

Science Advisor

Insights Author

Apr 10, 2013

Your posted attempt seems to be addressing part 4 only. How about starting with part 1? If you've done parts 1, 2 and 3 we'd like to see the results of those.

Damped Simple Harmonic Motion - Finding drag constant

Homework Statement

The Attempt at a Solution

Homework Statement

Discussion

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