The Pendulum Clock Repair · AI Generator #GEN-7FEA34C4

Physics · mechanics

Problem

A grandfather clock pendulum consists of a uniform rod of mass m=2.0  kgm = 2.0\;\text{kg} and length L=1.5  mL = 1.5\;\text{m} with a point mass M=3.0  kgM = 3.0\;\text{kg} attached at the end. During repair, the clockmaker accidentally drops the pendulum from rest when it is horizontal. At the moment the pendulum reaches the vertical position, the point mass breaks off and flies away horizontally. (a) What is the angular velocity of the rod just before the point mass breaks off? (b) What is the speed of the point mass just after it breaks off? (c) How high does the rod's center of mass rise after the point mass breaks off? Take g=10  m/s2g = 10\;\text{m/s}^2 and treat the rod as pivoting about its upper end.

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