4. Chapter 10, Problem 47, page 328. This problem describes one experimental method for determining the moment of inertia of an irregularly shaped object such as the payload for a satellite. Figure P10.47 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 ( 2gh apparatus (including the turntable) is mr² (20n – 1). v2

Elements Of Electromagnetics
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m
Figure P10.47
Transcribed Image Text:m Figure P10.47
4. Chapter 10, Problem 47, page 328. This problem describes one
experimental method for determining the moment of inertia of an
irregularly shaped object such as the payload for a satellite. Figure
P10.47 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 mr² (0 – 1).
v2
Transcribed Image Text:4. Chapter 10, Problem 47, page 328. This problem describes one experimental method for determining the moment of inertia of an irregularly shaped object such as the payload for a satellite. Figure P10.47 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 mr² (0 – 1). v2
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