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Chapter 5.2 Hooke’s Law

Chapter 5.2 Hooke’s Law. WOD are underlined. Question. What is the net force on this mass?. Question. What about now? What direction will the force be?. Hooke’s Law. Springs are objects that store energy and create forces in order to restore themselves to equilibrium.

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Chapter 5.2 Hooke’s Law

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  1. Chapter 5.2 Hooke’s Law WOD are underlined

  2. Question • What is the net force on this mass?

  3. Question • What about now? What direction will the force be?

  4. Hooke’s Law • Springs are objects that store energy and create forces in order to restore themselves to equilibrium. Springs create NON-CONSTANT forces that are always towards the direction of equilibrium.

  5. Hooke’s Law (WOD) • F = - k Δx • New Symbol: “k” • k is Spring constant. • “Stiffness” of the spring. • Depends on each spring’s dimensions and material. • In N/m

  6. Hooke’s Law • F = - k Δx • Force = stiffness of spring (or k) times How far you stretch it • The negative sign reverses the direction of Δx.

  7. More about the negative sign • The force exerted *BY* a spring is opposed to the displacement. • The force applied *ON* a spring will be equal and opposite to that. • You have to push on a spring to compress it. • You have to pull on a spring to stretch it.

  8. Problem A: • A spring with spring constant 10 N/m has a force of 40 N applied to it (stretching it). How much does the spring stretch? • F = - k Δx

  9. Problem A: • A spring with spring constant 10 N/m has a force of 40 N applied to it (stretching it). How much does the spring stretch?X = 40N / (-10N/m)

  10. Another problem B: • A force of 600 Newtons will compress a spring 0.5 meters. What is the spring constant of the spring? • F = - k Δx

  11. Another problem B: • A force of 600 Newtons will compress a spring 0.5 meters. What is the spring constant of the spring? • k = -F / Δx = -600N / (.5m)

  12. Question • If I let go, what will happen to the mass? Then what? Then what?

  13. Question • If I let go, what will happen to the mass? • For how long? Why would it stop?

  14. Question • For how long? Why would it stop? • Go on forever, unless friction or until friction sucks away all the energy. Then it stops. • What friction is there?

  15. Simple Harmonic Motion • Motion that occurs when the net force obeys Hooke’s Law • The force is proportional to the displacement and always directed toward the equilibrium position. • The motion of a spring mass system is an example of Simple Harmonic Motion

  16. Classwork: • Section 5-2 Pg 172 Prob 21-29 • Staple to 5-2 Read and Write and turn in. • HW due Tuesday. • Read and Write for 13.1 and 13.2 • HW due Weds. • Read and Write 13.3-.5 • You can play around with Bike wheels if you wish to do probs at home.

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