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Modified over 4 years ago
Sinusoidal Nature of SHM
SHM and Uniform Circular Motion
θ x = A cos θ A ω = θ/t x = A cos(ωt) ω = 2П/T = 2Пf
At what time is there: max. positive acceleration max. negative acceleration max. positive velocity max. negative velocity Equation: y t y = A sin (ωt) ω =2π/T 3T/4 T/4 0 & T T/2
Period of Mass on Spring Compare to circular motion with same T v = Δx/t v 0 = 2ПA/T T = 2ПA/v 0 ½ mv 0 2 = ½ kA 2 v 0 = A (k/m)T = 2П (m/k)
To double the period: change in m: 4 times change in k: ¼ as large
PROJECTILE MOTION Free powerpoints at
Oscillations and Waves Energy Changes During Simple Harmonic Motion.
Oscillations and Waves
DEFINITIONS TEST!! You have 12 minutes!
Oscillations and Simple Harmonic Motion:
Circular Motion. Imagine a hammer (athletics variety) being spun in a horizontal circle At a constant speed.
Chapter 5 Simple Harmonic Motion
Simple Harmonic Motion Sinusoidal Curve and Circular Motion.
Periodic motion Frequency Period. Periodic motion – Any motion that repeats itself.
بسم الله الرحمن الرحيم.
Part 2: projectiles launched at an angle Pages 102 – 104 Motion in Two Dimensions.
Physics 101: Lecture 22 Simple Harmonic Motion
Damped and Forced SHM Physics 202 Professor Lee Carkner Lecture 5.
Simple Harmonic Motion
Chapter 4: Motions in Two and Three Dimensions
Chapter 13: Oscillations About Equilibrium
1 Oscillations Time variations that repeat themselves at regular intervals - periodic or cyclic behaviour Examples: Pendulum (simple); heart (more complicated)
Oscillations x(t)=x m cos( t+ ) v(t)=- x m sin ( t+ ) v m = x m ‘amplitude’ shifted by T/4 (90 0 ) a(t)=- 2 x m cos( t+ ) a m = 2 x.
Simple Harmonic Motion Physics 202 Professor Vogel (Professor Carkner’s notes, ed) Lecture 2.
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