Answered: A pendulum is constructed from a heavy…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 76PQ

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Question

A pendulum is constructed from a heavy metal rod and a metal disk, both of uniform mass density. The center of the disk is bolted to one end of the rod, and the pendulum hangs from the other end of the rod. The rod has a mass of m=1.0 kg and a length of L=49.8 cm. The disk has a mass of M=4.0 kg and a radius of R=24.9 cm. The acceleration due to gravity is g=9.8 m/s2.

The pendulum is held with the rod horizontal and then released. What is the magnitude of its angular acceleration ?α at the moment of release?

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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