Elongation in rod

Classical Mechanics Level 4

An elastic rod of costant \(k\) and length \(l\) is hung at a point P, rod have a massless lock at the other end. A smooth ring of mass \(m\) falls from P (It is the same point from where the rod was hung), find the max elongation in the rod.

Details and Asumptions:

Gravity acts vertically downwards.
Position of ring in picture is not of initial position.
Length l is taken from point P to lock.
\(l=30, m=20, k=10, g=10\)
All the values above are in SI units

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.