Conceptual questions on sound/waves

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In the discussion on sound and waves, key points include the identification of the greatest velocity of a child swinging in simple harmonic motion, which occurs at the lowest point of the swing due to maximum kinetic energy. The buoy's motion is debated, with clarification needed on whether its up-and-down movement constitutes simple harmonic motion, as it may not follow a consistent restoring force. The type of wave created by a glacier falling into the ocean is confirmed to be a transverse wave, characterized by its distinct crest and trough. Additional insights suggest examining the nature of the buoy's motion and the water's behavior to fully understand harmonic motion. Overall, the discussion emphasizes the principles of motion and wave types in physics.
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Homework Statement


1. A child is swinging in simple harmonic motion. Where in his swing is the velocity the greatest? (Top, bottom, mid-way on the way up, or mid-way on the way down.)

2. A buoy in the ocean is bobbing up and down repeatedly. Explain why this is or isn't an example of simple harmonic motion.

3. A piece of a glacier falls into the ocean creating a large wave. What type of wave is this and how do you know? (Transverse or longitudinal)

Homework Equations


N/A


The Attempt at a Solution


1. I think that the velocity is greatest mid-way on the way up, but I'm not too sure.
2. I think that the buoy in the ocean is an example of simple harmonic motion since its movement is repeated.
3. Well, I know it's a transverse wave, but I don't know how to explain why. I would imagine that it's transverse since it has a distinct crest and trough, and because longitudinal has to do with varied compression.
 
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1. The child is undergoing harmonic motion between the extremes of potential energy at the top and kinetic energy at the bottom of the swing. Where then is tangential velocity the greatest? If you were just looking at the vertical component of velocity, then where would it appear greatest?

2. What is the buoy doing? Following the surface of the water? Is the water experiencing harmonic motion?

3. Consider:
http://en.wikipedia.org/wiki/Transverse_wave
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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