- #1

Rikudo

- 120

- 26

- Homework Statement:
- A mountain is modeled as a cone with height H (see fig 1). On the cone, a path that goes around it and connects point A-B is made by wire with minimum length. If a particle move along the path from A to B, what is the minimum initial velocity it should have to reach point B? Assume that there is no friction.h = H/√15

- Relevant Equations:
- -

Fig.1

Fig 2 (the net of the cone)

Point C is the turning point. ##\phi##= 90°.

I wonder why the angle ACP is 90°. Is this a coincidence, or the "wire of minimum length" has anything to do with this?

(Though, I thought the minimum length of the path can be acquired if ABP is a right angle)