Classical Mechanics (Kibble & Berkshire) · Problem 4.24

Linear oscillations — T.W.B. Kibble, F.H. Berkshire

Physics — Mechanics · projectile-conical-mound

Problem

A projectile is fired from the top of a conical mound of height

h

and base radius

a

. What is the least projection speed that will allow the projectile to clear the mound? [Hint. Make use of the parabola of safety.] A mortar gun is placed on the summit of a conical hill of height 60 m and base diameter 160 m. If the gun has a muzzle speed of

25\text{ m s}^{-1}

, can it shell anywhere on the hillside? [Take

g = 10\text{ m s}^{-2}

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