Problem 4 An U tube of radius R and length L is filled with water. In equilibrium position the water level at both ends of the tube are equal. If the level of water in one of the end of the tube is lowered by a distance d then how much the gravitational potential energy will increase? Write Lagrangian as function of d(t) and d(t). What is the natural frequency of oscillation?
Problem 4 An U tube of radius R and length L is filled with water. In equilibrium position the water level at both ends of the tube are equal. If the level of water in one of the end of the tube is lowered by a distance d then how much the gravitational potential energy will increase? Write Lagrangian as function of d(t) and d(t). What is the natural frequency of oscillation?
Related questions
Question
6
Transcribed Image Text:Problem 4
An U tube of radius R and length L is filled with water. In equilibrium position the water level at
both ends of the tube are equal. If the level of water in one of the end of the tube is lowered by a
distance d then how much the gravitational potential energy will increase? Write Lagrangian as
function of d(t) and d(t). What is the natural frequency of oscillation?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 7 steps
