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Physics / Physics for Scientists and Engineers, 6 / Chapter 9 / Problem 79

Physics for Scientists and Engineers, | 6th Edition | ISBN: 9781429201247 | Authors: Paul A. Tipler, Gene Mosca

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Two objects are attached to ropes that are attached to two

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QUESTION:

Two objects are attached to ropes that are attached to two wheels on a common axle, as shown in Figure 9-60. The two wheels are attached together so that they form a single rigid object. The moment of inertia of the rigid object is The radii of the wheels are and (a) If find such that there is no angular acceleration of the wheels. (b) If is placed on top of find the angular acceleration of the wheels and the tensions in the ropes.

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QUESTION:

Two objects are attached to ropes that are attached to two wheels on a common axle, as shown in Figure 9-60. The two wheels are attached together so that they form a single rigid object. The moment of inertia of the rigid object is The radii of the wheels are and (a) If find such that there is no angular acceleration of the wheels. (b) If is placed on top of find the angular acceleration of the wheels and the tensions in the ropes.

ANSWER:

Step 1 of 4

Given values are

Radius of the larger wheel,

Radius of the smaller wheel,

Mass attached to the larger wheel,

Total moment of inertia,

Let is the mass attached to the smaller wheel.

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