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Vocabulary (Due Tue 3/20):
Today’s HW & Agenda Vocabulary (Due Tue 3/20): Ch. 12 Vocabulary part 1 Wavelength Amplitude Period Frequency Transverse Longitudinal Medium Crest Trough Node antinode Review Ch. 8 & 9 Exam Review Ch. 12 Reading HW8 Simple Harmonic Motion Activity Lecture Hooke’s Law, Mass-Spring Systems, & Pendulums HW9: 12A p.441 # 1, 2, Sect Rev p.445 #1, 2, B p. 449 #1, 2, 3, First 5 vocabulary Terms Textbook Chapter 12
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periodic motion & Waves video
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Simple Harmonic Motion Activity Partner 1 Pulls the Paper at CONSTANT Velocity Partner 2 Traces Bob’s Motion with Pencil
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Simple Harmonic Motion Activity Look at the Drawing. Do the Following:
Measure the Wavelength, . Label it. Measure the Amplitude, A. Label it. Label the crest and the trough Label the nodes Time 3 full periods of your pendulum (use watch or cell phone) , then divide that time by 3 to find the period, T. Record. Calculate the frequency, f (f=1/T). Write your names on the paper & turn in.
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Periodic Motion A spring-mass system (also known as a mass-spring system) at equlibrium compressed stretched Spring Masses horizontal x x
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Periodic Motion All three diagrams show a snapshot in time of a moving mass on a spring compressed at equilibrium stretched PEe = ½ k(x) k = spring constant (N/m) units: Joules x = displacement from equilibrium position Spring Masses vertical Elastic Potential Energy x x x x
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Conservation of Energy
Vocabulary: spring masses Conservation of Energy Kinetic Energy: KE = ½ mv2 Hooke’s Law Force: F = -k(x) Periodic Motion Oscillate – to move back and forth in a periodic motion As the mass attached to the spring oscillates, ENERGY is TRANSFORMED from Potential to Kinetic to Potential. F = max PEe = max KE = 0 F = 0 PEe = 0 KE = max F = max x inertia keeps the mass moving x
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Conservation of Energy
Vocabulary: spring masses Conservation of Energy Kinetic Energy: KE = ½ mv2 Hooke’s Law Force: F = -k(x) Periodic Motion Which Direction will the mass move next? F = max PEe = max KE = 0 F = 0 PEe = 0 KE = max F = max x x
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Period T Kinetic Energy: KE = ½ mv2 Force: F = -k(x)
spring masses Period T Kinetic Energy: KE = ½ mv2 Force: F = -k(x) Periodic Motion Period, T, is the time (seconds) for 1 complete oscillation x x
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pendulums L (meters) Period g = 9.8 m/s2 T
Periodic Motion Period, T, is the time (seconds) for 1 complete oscillation L (meters) g = 9.8 m/s2
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moving at equilibrium position
pendulums Periodic Motion All three diagrams show a snapshot in time of a moving pendulum bob hmax v=0 PEg = max KE = 0 hmax v=0 PEg = max KE =0 h0 v=max PEg = KE = max moving at equilibrium position
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END OF LECTURE
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