A test tube of mass 10 grams closed with a cork of mass 1 gram contains some ether . When the test tube is heated the cork flies out under the pressure of the ether gas. The test tube is suspended horizontally by a weight less rigid bar of length 5 cm . What is the minimum velcoity with which the cork should fly out of the tube , so that test tube deseribing a full vertical circle about the point O . Neglect the mass of ether .

Explanation

Length of bar `L=5cm=(5)/(100).g=10m//s^(2)`
For the cork not to come out minimum velocity at lowest point is , `v=sqrt(5gL)` . At this condition centrifugal and centripetal forces are balanced .
`thereforeV_("min")=sqrt(5xx(5)/(100)xx10)=(5)/(10)sqrt(10)m//s" or " 0.5sqrt(10)m//s`