lecture15_tth_2101_S11

lecture15_tth_2101_S11 - PHYS 2101 Spring 2011 I. Periodic...

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PHYS 2101 I. Periodic Motion II. Equations of Motion III. Forces and SHM I. Energy and SHM II. Types of SHO Spring 2011
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PHYS 2101 -1.5 -1 -0.5 0 0.5 1 1.5 0 5 10 15 displacement (m) tim e ( s) Displacement (m or rad) Spring 2011
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PHYS 2101 x ( t ) = A co s( ϖ t + φ ) Displacement from equilibrium at time t Amplitude ( A = x max ) Phase Angular frequency Time Phase shift Spring 2011
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PHYS 2101 θ ( t ) = A co s( ϖ t + φ ) Angular displacement from equilibrium at time t Amplitude ( A = max ) Phase Angular frequency Time Phase shift Spring 2011
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PHYS 2101 ) ( ) cos( ) ( ) sin( ) ( ) cos( ) ( 2 2 t x t A t a t A t v t A t x ϖ φ - = + - = + - = + = ) ( ) cos( ) ( ) sin( ) ( ) cos( ) ( 2 2 t t A t t A t t A t θ α - = + - = + - = + = A = x max A max Linear SHOs Angular SHOs Equations of motion for SHM x max = A v max = ϖ A a max = ϖ 2 A max = A max A max 2 A Spring 2011
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PHYS 2101 CT1: A mass attached to a spring is at its maximum positive displacement from equilibrium. What can you say about. .. ...the velocity of the mass? 1 - The velocity is positive. 2 - The velocity is negative. 3 - The velocity is zero.
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lecture15_tth_2101_S11 - PHYS 2101 Spring 2011 I. Periodic...

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