How to find frequencies giving the coeffiecent friction and amplitude?

AI Thread Summary
To determine the frequency of a wooden platform undergoing simple harmonic motion with a book on it, the coefficient of friction (μ = 0.5) and amplitude (1.0 m) are key factors. The maximum velocity of the platform can be calculated using the equation vmax = ω * Amplitude, where ω is the angular frequency. The force acting on the book when it is about to slip must equal the maximum static friction force, which can be derived from the coefficient of friction. The relationship between frequency and angular frequency is given by the equation f = ω / (2π). Understanding these equations is crucial for solving the problem effectively.
kelambumlm
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A book is placed on a horizontal wooden plane that is undergoing simple harmonic
motion with an amplitude of 1.0 m. The coefficiet of friction btween the book and
the horizontal wooden plane is given by μ = 0.5. Determine the frequebcy of the
horizontal wooden platform when the book is about to slip from the horizontal
wooden plane.
 
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kelambumlm said:
A book is placed on a horizontal wooden plane that is undergoing simple harmonic
motion with an amplitude of 1.0 m. The coefficiet of friction btween the book and
the horizontal wooden plane is given by μ = 0.5. Determine the frequebcy of the
horizontal wooden platform when the book is about to slip from the horizontal
wooden plane.
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You are expected to show some effort when asking for help. So, what are your thoughts?
 
i have no idea what equation that i must to use.
1st freq = omega/2pi
vmax=omega*Amplitude

what about A*cos(ω t)
 
What can you say about the force acting on the book when it is about to slip?
 
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