Solving a Simple Harmonic Motion Problem

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To solve the simple harmonic motion problem, the equation A = A sin(wt + π/3) is used, with w set at π radians per second and A at 7.6 m. At t = 2.6 seconds, the phase of motion can be calculated by substituting the values into the equation. The calculation involves finding the value of wt + π/3, which results in the phase in radians. The final answer provides the phase of motion at the specified time, ensuring clarity in the working process. Understanding the relationship between displacement, time, and angular frequency is crucial for solving such problems.
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I can't figure out what the heck I need to do for this problem.


3) A body oscillates with simple harmonic motion along the x-axis. Its displacement varies with the time according to the equation A=A sin (wt+ pi/3)

Where w=pi radians per second, t is in seconds, and a= 7.6m.
What is the phase of motion at t=2.6s? Answer in units of rad.
 
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Again, please show some working/effort.
 
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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