A classical mechanics problem by Arpita Karkera

Classical Mechanics Level 3

In the figure shown a ring \(A\) is initially rolling without sliding with a velocity \(v\) on the horizontal surface of the body \(B\) (of same mass as \(A\)). All surfaces are smooth. \(B\) has no initial velocity. Find the maximum height reached by \(A\) on \(B\). (\(g\) is acceleration due to gravity).

Answer comes out as \(\frac{av^{2}}{bg}\) where a and b are coprime integers

What is the value of \(a+b\)?

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.