I in: Mechanical Oscillations - Angular freq, Energy of oscillating system

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The mechanical energy of an oscillating system is primarily composed of potential and kinetic energy, varying between equilibrium and extreme positions. At the equilibrium position, the system has maximum kinetic energy and minimum potential energy, while at extreme positions, potential energy is maximized and kinetic energy is zero. Angular frequency is defined as the rate of oscillation, calculated as ω = √(g/L) for a simple pendulum and ω = √(k/m) for a spring. Understanding these concepts is crucial for analyzing the behavior of oscillating systems. The discussion emphasizes the importance of energy distribution and angular frequency in mechanical oscillations.
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Dear Collegues,
Can you help me to answer theese : Describe the mechanical energy of the oscillating system, with the special interest in the equilibrium and extreme positions.
And can u tell me please, that, what is angular frequency in this topic?
 
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Thanks for the help
 
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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