This problem describes one experimental method for determining the moment of inertia of an irregularly shaped object such as the payload for a satellite. The figure below shows a counterweight of mass m suspended by a cord wound around a spool of radius r, forming part of a turntable supporting the object. The turntable can rotate without friction. When the counterweight is released from rest, it descends through a distance h, acquiring a speed v. Show that the moment of inertia I of the rotating apparatus (including the turntable) is I = mr'(2gh/v²-1)
This problem describes one experimental method for determining the moment of inertia of an irregularly shaped object such as the payload for a satellite. The figure below shows a counterweight of mass m suspended by a cord wound around a spool of radius r, forming part of a turntable supporting the object. The turntable can rotate without friction. When the counterweight is released from rest, it descends through a distance h, acquiring a speed v. Show that the moment of inertia I of the rotating apparatus (including the turntable) is I = mr'(2gh/v²-1)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:This problem describes one experimental method for determining the moment of inertia of
an irregularly shaped object such as the payload for a satellite. The figure below shows a
counterweight of mass m suspended by a cord wound around a spool of radius r, forming
part of a turntable supporting the object. The turntable can rotate without friction. When the
counterweight is released from rest, it descends through a distance h, acquiring a speed v.
Show that the moment of inertia I of the rotating apparatus (including the turntable) is
I = mr*(2gh/v²-1)
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