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Engineering and Tech / Vector Mechanics for Engineers: Dynamics 10 / Chapter 16 / Problem 16.96

Vector Mechanics for Engineers: Dynamics | 10th Edition | ISBN: 9780073398136 | Authors: Ferdinand P. Beer

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A 40-kg flywheel of radius R 5 0.5 m is rigidly attached

Chapter 16, Problem 16.96

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QUESTION:

A 40-kg flywheel of radius R = 0.5 m is rigidly attached to a shaft of radius r = 0.05 m that can roll along parallel rails. A cord is attached as shown and pulled with a force P of magnitude 150 N. Knowing the centroidal radius of gyration is \(\bar{k}=0.4\mathrm{\ m}\), determine (a) the angular acceleration of the flywheel, (b) the velocity of the center of gravity after 5 s.

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QUESTION:

A 40-kg flywheel of radius R = 0.5 m is rigidly attached to a shaft of radius r = 0.05 m that can roll along parallel rails. A cord is attached as shown and pulled with a force P of magnitude 150 N. Knowing the centroidal radius of gyration is \(\bar{k}=0.4\mathrm{\ m}\), determine (a) the angular acceleration of the flywheel, (b) the velocity of the center of gravity after 5 s.

ANSWER:

Step by step solution Step 1 of 5Mass and moment of inertia :Where is the moment of inertia is the radius of gyration

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