Saved Bookmarks
| 1. |
A rectangular block of mass m and area of cross section A floats in a liquid of density rho.If it is given a small vertical displacement from equilibrium it undergoes with a time period T, then |
|
Answer» `T prop 1/sqrt(m)` When the blocks is floating. `therefor mg = Al rho g` If the block is GIVEN vertical displacement y then the effective RESTORING force is, `F =-[A(l +y)rho g - mg)] =-[A(l + y)rhog -Alrhog] =-Alrho gy` here inertia factor = mass of block =m Spring factor `=A rho g` `therefore` Time period `=T = 2pi sqrt(m/(A rho g))` i.e. `T prop 1/sqrt(A)` |
|