MathDB
STEMS 2021 Phy Cat C Q2

Source:

January 23, 2021

Problem Statement

Little Mario and the Cylindrical Beam Little Mario wishes to jump over a very long (practically infinite) cylindrical beam of radius rr whose axis is at a height hh from the ground. With what minimum initial speed must he launch himself if: [*] Mario is allowed to touch the beam (neglect frictional effects)? [/*] [*] Mario is not allowed to touch the beam? [/*] Approximate Little Mario by a point particle for convenience. Acceleration due to gravity is gg.