FYKOS Year 28 Series 4 Problem 5 — knife thrower · FYKOS 28 #28.4.5

Physics · mechanics

Problem

The throwing knife shall leave the hand in the moment that its center of mass is at the height

h

and has just a purely horizontal component of velocity

v_{0}

. What must its angular velocity

ω

be for it to hit and stick in a vertical panel at a distance

dfrom

the point of escape? To make simplify consider the center of mass to be in the middle of its length

l

and that the knife shall stay in the vertical if the blade shall hit it before the hilt.