A pendulum consists of a mass M = 5m (treat as a point-particle) hanging at the bottom end of a rod of mass 2m and length L, which has a frictionless pivot at its top end. A mass m, moving with velocity v, impacts M and becomes embedded. What is the smallest value of v sufficient to cause the pendulum with embedded mass m to swing clear over the top of its arc? Give answer in terms of g and L. (The moment of inertia of a rod of mass m and length L about the end is Irod-end = (1/3)mL²). m L M

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A pendulum consists of a mass M = 5m (treat as a point-particle) hanging at the bottom end of a rod of mass
2m and length L, which has a frictionless pivot at its top end. A mass m, moving with velocity v, impacts M and
becomes embedded. What is the smallest value of v sufficient to cause the pendulum with embedded mass m to
swing clear over the top of its arc? Give answer in terms of g and L. (The moment of inertia of a rod of mass m
and length L about the end is Irod-end = (1/3)mL²).
m
L
M
Transcribed Image Text:A pendulum consists of a mass M = 5m (treat as a point-particle) hanging at the bottom end of a rod of mass 2m and length L, which has a frictionless pivot at its top end. A mass m, moving with velocity v, impacts M and becomes embedded. What is the smallest value of v sufficient to cause the pendulum with embedded mass m to swing clear over the top of its arc? Give answer in terms of g and L. (The moment of inertia of a rod of mass m and length L about the end is Irod-end = (1/3)mL²). m L M
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