Question #83110
A block of wood with a cross - sectional area A and mass density ρ when it floats in the water, displaces the volume equal to a V of water. If a person (mass of person = m jumps on this piece, find a period of small oscillations.
1
Expert's answer
2018-11-19T15:48:09-0500

F=ρgAx=kx

ρ=m/V.

T=2π√(m/k)

T=2π√(m/(m/V gA))

The period of small oscillations is

T=2π√(V/Ag)

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Comments

erfan
21.11.18, 09:58

Yes, I got it. Thanks for answering and guiding

Assignment Expert
20.11.18, 23:00

Dear erfan, yes. Newton's second law gives us an equation of motion in general form. But this method is more complicated.

erfan
19.11.18, 23:49

Thanks for the answer. Is the mass of wood not important? Can we use Newton's second law to solve?

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