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9_Oscillations_fall2010_2

# 9_Oscillations_fall2010_2 - Dr Bernd Stelzer Mechanics and...

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Unformatted text preview: Dr. Bernd Stelzer Mechanics and Modern Physics PHYS 120 SFU Fall 2010 Dr. Bernd Stelzer Recap: Simple Harmonic Motion (SHM) 11/24/10 Sinusoidal oscillations are the most fundamental and are called simple harmonic oscillations x ( t ) = A cos 2 π t T PHYS120 12 x(t) = A cos( ω t) v x (t) = −ω A sin( ω t) a x (t) = −ω 2 A cos( ω t) We define an angular frequency ω (in rad/s) = 2 π f = 2 π T (in Hz) Question 11/24/10 A. Velocity is zero; force is to the left. B. Velocity is negative; force is to the left. C. Velocity is negative; force is to the right. D. Velocity is positive; force is to the right. E. Velocity is zero; force is to the right. This is the position graph of a mass on a spring. What can you say about the velocity and the force at the instant indicated by the dotted line ? PHYS120 13 x(t) = A cos( ω t) v x (t) = −ω A sin( ω t) a x (t) = −ω 2 A cos( ω t) Example 11/24/10 Consider a mass and spring oscillator whose position is given by: (a) What is the maximum speed of the object?...
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9_Oscillations_fall2010_2 - Dr Bernd Stelzer Mechanics and...

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