Active Figure 13.12 Simple Harmonic Motion With Different Amplitudes In this ani

Question

Active Figure 13.12 Simple Harmonic Motion With Different Amplitudes In this animation, you can compare the oscillations of the two blocks starting from different initial positions. Each block starts from rest at an initial position that is positive. Instructions: Use the sliders to set the initial position for each block and then click start to play the animation. Explore Give one block a small initial displacement and the other block a larger one. Click start, and watch the animation. Then select each statement below that is true. initial position ) Small amplitude gives smaller acceleration Frequency is independent of amplitude Acceleration is independent of amplitude. Large amplitudes have smaller periods. Large amplitudes have larger frequencies Large amplitude gives larger acceleration initial position (x) start reset Display in a New Window

Explanation / Answer

Statement 1 - according to relation a=-w^2x where w is angular frequency and x is instantaneous displacement

amax=-w^2A where A is amplitude

So small amplitude will normally have a small max.acceleration .so max. Acceleration depends upon amplitude but instantaneous acceleration does not depend on amplitude it depends upon instantaneous displacement (not true)

2)true

3) not true (same reason as given in 1)

4)not true ( not linked)

5) not true

6)only true for max. Acceleration but not true for instantaneous acceleration.

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