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College Physics II Physics 1402 Second Class

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Second Class. E & M Conceptual Survey Results. Mechanics Transition. SHM. Simple Pendulum ... a(t) = - w2 xm sin (wt f) (in m/s2) Amplitude = maximum ... – PowerPoint PPT presentation

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Title: College Physics II Physics 1402 Second Class


1
College Physics II - Physics 1402Second Class
  • E M Conceptual Survey Results
  • Mechanics Transition
  • SHM
  • Simple Pendulum
  • Forced and Damped Oscillations
  • Lab Activity

2
Mechanics TransitionSimple Harmonic Motion
  • Displacement of an object undergoing SHM
  • x(t) xm sin (wt f) (in m)
  • Amplitude xm
  • Angular frequency w
  • w 2 p / T 2 p f
  • Phase angle or constant f
  • Graphing
  • Velocity of an object undergoing SHM
  • v(t) w xm cos (wt f) (in m/s)
  • Amplitude maximum velocity w xm
  • Examples

3
Mechanics TransitionSimple Harmonic Motion II
  • Acceleration of an object undergoing SHM
  • a(t) - w2 xm sin (wt f) (in m/s2)
  • Amplitude maximum acceleration w2 xm
  • Notice that a(t) - w2 x(t)
  • Examples
  • Horizontally Vibrating Spring
  • Force due to SHM
  • F m a m - w2 x(t) (in N)
  • Period T

4
Mechanics TransitionSimple Harmonic Motion III
  • Horizontally Vibrating Spring (continued)
  • Graphs and examples
  • Figure 1.5
  • Force and Energy
  • Elastic Potential Energy
  • Us 1/2 ks x2m sin2 (wt f) (in Nm or J)
  • Kinetic Energy
  • K 1/2 ks x2m cos2 (wt f) (in Nm or J)
  • Examples
  • Table 1

5
Simple Pendulum
  • Using Force and Motion ideas
  • q l
  • m
  • Period is
  • Examples

6
Forced and Damped Oscillations
  • Damping force
  • Fd - b v
  • Angular frequency
  • Forced oscillations
  • Examples

7
Sinusoidal Waves - Sine Wave
  • x(t) A sin (wt f)
  • x (m)
  • 1
  • t (s)
  • 0 p/2 p 3p/2
    2p
  • -1
  • 0 90 180
    270 360
  • 0 T/4 T/2
    3T/4 T
  • For this example, A 1
  • w 1 w 2 p/T T 2 p/1 2 p
  • f 0

8
Sinusoidal Waves - Cosine Wave
  • x(t) A cos (wt f)
  • x (m)
  • 1
  • t (s)
  • 0 p/2 p 3p/2
    2p
  • -1
  • 0 90 180
    270 360
  • 0 T/4 T/2
    3T/4 T
  • For this example, A 1
  • w 1 w 2 p/T T 2 p/1 2 p
  • f 0

9
Next Class
  • Work on SHM Homework
  • Start Coverage of Mechanical Waves
  • Introduction to Waves Lab
  • Turn in Periodic Motion Lab and Homework
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