Ball Through A Loop

Ball Through A Loop#

A ball, initially at rest, falls into a curved path as illustrated below. It follows the path until the peak, and gets launched onto a platform aside. The curvature has a radius \(r={{params.r}} \ \rm{m}\). Neglect friction.

A ball falling vertically into a loop of radius r from a height h. At the peak of the loop, it comes off the track and lands on a platform of distance d from the start of the loop.

Part 1#

From what height \(h\) must the ball be dropped to always maintain contact with the loop and land on the platform?

Answer Section#

Please enter in a numeric value in m.

Part 2#

At what distance \(d\) from the loop does the ball land?

Answer Section#

Please enter in a numeric value in m.

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.