sy18_nov05_07hc - Periodic motion Earth around the sun...

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Unformatted text preview: ¡ Periodic motion Earth around the sun Elastic ball bouncing up an down Quartz in your watch, computer clock, iPod clock, etc. Heart beat, and many more In taking your pulse, you count 70.0 heartbeats in 1 min. What is the period of your heart's oscillations? 0.86 s What is their frequency? 1.17 Hz What do all harmonic oscillations have in common? • A position of equilibrium • A restoring force, which must be linear ( F = -kx ; F = mg is only linear for small angles : sin θ = θ =s/L In this limit we have: F = -ks with k = mg/L ) • Inertia • The resistive forces are reasonably small Simple Harmonic Motion ¡ Simple Harmonic Motion the restoring force on the mass is linear , that is, exactly proportional to the displacement of the mass from rest position Hook’s Law : F = -kx large k <=> rapid oscillations <=> large frequency large mass <=> low frequency Demo cart on springs&plots Video 1 DC: springs good vibes • m, k, A, no friction • Pull block to the right until x=A After the block is released from x=A, it will • remain at rest. • move to the left until it reaches equilibrium and stop there. • move to the left until it reaches x=-A and stop there....
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sy18_nov05_07hc - Periodic motion Earth around the sun...

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