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timetraveller123
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Homework Statement
A 0.75-m rod has a uniform linear mass density of λ. A small mass m with negligible volume is attached to one end of the rod. The rod with the attached mass is placed in a container of unknown fluid and after oscillating briefly, comes to rest at its equilibrium position. At equilibrium, the rod floats vertically with 2/3 of its length submerged and mass m in the fluid. If the rod were fully submerged it would displace 7.5×10-4 kg of fluid.
(a) What is the maximum value that the mass m can have?
(b) What is the minimum value that the mass m can have?
(c) Sketch a graph that shows the values of λas a function of m
Homework Equations
fbuoyancy = g ρ v
The Attempt at a Solution
fboyant = fweight
g 5 x 10-4 = g (m + 0.75 λ)
how is m supposed to have maximum and minimum values for this equation