Question

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.

Answer 1

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)