Mass on a Spring semi-submerged in a liquid

  • Thread starter MatinSAR
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  • #1
MatinSAR
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Homework Statement:
According to the figure, the metal cylinder with mass M and volume V is connected to a fixed point from above by a spring with spring constant k and it floats inside a liquid of density p so that half of its height is inside the liquid. What weight should we put on it so that two-thirds of the height is inside the liquid?
Relevant Equations:
Fluid mechanics.
Hi , Can someone tell me wether my answer is corrrect or false ?
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Answers and Replies

  • #2
erobz
Gold Member
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I'm getting something different from you. The difference is I define ##d'## in terms of ##d## and ##h## differently. Actually, they work out equivalently. If you just eliminate ##Mg## via your first equation, and put ##L## in terms of ##d## and ##h## , I think we will get the same result.

My end result is purely a function of ##k,h,\rho,g,V##
 
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