Uniform Circular Motion Side View of Uniform Circular Motion.

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Presentation transcript:

Uniform Circular Motion

Side View of Uniform Circular Motion

Mass on a Spring View Animation

Simple Harmonic Motion Mass on a compressible spring. Amplitude Frequency Angular Frequency Period

Vertical mass-on-spring Treat the equilibrium length of the spring as if it is the unstretched length of the spring. Then, you can neglect the gravitational force on the object and treat the spring as a compressible spring with a new equilibrium length.

Poll The freqency of a harmonic oscillator is 0.25 Hz. What is its period? s s 3.1 s 4.2 s 5.4 s

Poll The angular freqency of a harmonic oscillator is  rad/s. What is its period? s s 3.1 s 4.2 s 5.4 s

Poll An object of mass m hangs on a spring of stiffness k. It takes 1.0 s to move from its lowest point to its highest point as it oscillates. What is its period? s s 3.1 s 4.2 s 5.4 s

Poll An object of mass m hangs on a spring of stiffness k. The distance from its lowest point to its highest point during one oscillation is 10 cm. What is its amplitude? 1.40 cm 2.20 cm 3.10 cm 4.5 cm cm

x(t) for SHM

Frequency and Stiffness Which has a greater frequency, a spring of stiffness k or a spring of stiffness 2k?

Frequency and Mass Which has a greater frequency, a spring and object of mass m or a spring and object of mass 2m?

Angular Frequency

Poll If you double the stiffness of the spring, by what factor does the frequency change? /2 3.sqrt(2) 4.1/sqrt(2) 5.4

Poll If you double the mass of the object, by what factor does the frequency change? /2 3.sqrt(2) 4.1/sqrt(2) 5.4

Poll In one experiment you pull back the object a distance A and release it from rest. In a second experiment, you pull back the object a distance 2A and release it from rest. The frequency of the oscillation in the second experiment is 1.Twice the frequency in the first experiment 2.Half the frequency in the first experiment 3.The same as in the first experiment

Poll x(t) for a harmonic oscillator is shown. What is the amplitude of the oscillation? m m m m 5.None of the above

Poll x(t) for a harmonic oscillator is shown. What is the period of oscillation? s s s s 5.None of the above