Download Oscillations (Dr. Andrei Galiautdinov, UGA) PHYS1211/1111 - Spring 2015

Oscillations
(Dr. Andrei Galiautdinov, UGA)
PHYS1211/1111 - Spring 2015
Point mass on a spring as a prototypical example
of a harmonically oscillating system
Topics:
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The need for a restoring force
Equation of motion (Newton’s Law)
Relation b/w rotational and harmonic oscillatory motions
Angular velocity vs. angular frequency
A mass on a spring: Hooke’s law; spring constant, k; position vs. time, x(t)
Angular frequency, ω; period, T; frequency, f = 1/T
Demo: mass oscillating on a spring; determination of k and g
Velocity vs. time, vx(t); acceleration vs. time, ax(t)
Energetics of oscillatory motion
Mass on a spring vs. simple (mathematical) pendulum
Demo: Simple pendulum; determination of g
Oscillations of extended objects; the physical pendulum
Steiner’s Theorem (on moment of inertia)
Demo: Physical pendulum; prediction of T
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Point mass on a spring as a prototypical example
of a harmonically oscillating system
Topics:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
The need for a restoring force
Equation of motion (Newton’s Law)
Relation b/w rotational and harmonic oscillatory motions
Angular velocity vs. angular frequency
A mass on a spring: Hooke’s law; spring constant, k; position vs. time, x(t)
Angular frequency, ω; period, T; frequency, f = 1/T
Demo: mass oscillating on a spring; determination of k and g
Velocity vs. time, vx(t); acceleration vs. time, ax(t)
Energetics of oscillatory motion
Mass on a spring vs. simple (mathematical) pendulum
Demo: Simple pendulum; determination of g
Oscillations of extended objects; the physical pendulum
Steiner’s Theorem (on moment of inertia)
Demo: Physical pendulum; prediction of T
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Point mass on a spring as a prototypical example
of a harmonically oscillating system
Topics:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
The need for a restoring force
Equation of motion (Newton’s Law)
Relation b/w rotational and harmonic oscillatory motions
Angular velocity vs. angular frequency
A mass on a spring: Hooke’s law; spring constant, k; position vs. time, x(t)
Angular frequency, ω; period, T; frequency, f = 1/T
Demo: mass oscillating on a spring; determination of k and g
Velocity vs. time, vx(t); acceleration vs. time, ax(t)
Energetics of oscillatory motion
Mass on a spring vs. simple (mathematical) pendulum
Demo: Simple pendulum; determination of g
Oscillations of extended objects; the physical pendulum
Steiner’s Theorem (on moment of inertia)
Demo: Physical pendulum; prediction of T
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Point mass on a spring as a prototypical example
of a harmonically oscillating system
Topics:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
The need for a restoring force
Equation of motion (Newton’s Law)
Relation b/w rotational and harmonic oscillatory motions
Angular velocity vs. angular frequency
A mass on a spring: Hooke’s law; spring constant, k; position vs. time, x(t)
Angular frequency, ω; period, T; frequency, f = 1/T
Demo: mass oscillating on a spring; determination of k and g
Velocity vs. time, vx(t); acceleration vs. time, ax(t)
Energetics of oscillatory motion
Mass on a spring vs. simple (mathematical) pendulum
Demo: Simple pendulum; determination of g
Oscillations of extended objects; the physical pendulum
Steiner’s Theorem (on moment of inertia)
Demo: Physical pendulum; prediction of T
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The End
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