Engineering Mechanics - DynamicsChapter 15Problem 15-109A small particle having a mass m is placed inside the semicircular tube. The particle isplaced at the position shown and released. Apply the principle of angular momentum aboutpointO(ΣM0= H0), and show that the motion of the particle is governed by the differentialequation θ''+ (g/R) sin = 0.Solution:ΣM0tH0dd=R−mgsin()tmvRdd=gsintvdd−=2tsdd2−=But,sR=Thus,gsinR−''=or,''gR⎛⎝⎞⎠sin+0=Problem 15-110A toboggan and rider, having atotal mass M, enter horizontally
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