Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 10, Problem 32P
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 P10.32 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(2gh/v2 − 1).
Figure P10.32
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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((2gh)/v2) – 1)
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 (" – 1).
v2
A 26 g block sits at the center of a turntable that rotates at 50 rpm. A compressed spring shoots the block radially outward from the center along a frictionless groove in the surface of the turntable. Calculate the turntable's angular speed when the block reaches the outer edge. Treat the turntable as a solid disk with mass with mass 200 g and diameter 30.0 cm. Express your answer in revolutions per minute.
Chapter 10 Solutions
Physics for Scientists and Engineers with Modern Physics
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