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Engineering and Tech / Engineering Mechanics Dynamics (1) 1 14 / Chapter 18 / Problem 18-4

Engineering Mechanics Dynamics (1) 1 | 14th Edition | ISBN: 9780133915389 | Authors: Russell C. Hibbeler

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A force of P = 60 N is applied to the cable, which causes the 200-kg reel to turn since

Chapter 18, Problem 18-4

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QUESTION:

A force of P = 60 N is applied to the cable, which causes the 200-kg reel to turn since it is resting on the two rollers A and B of the dispenser. Determine the angular velocity of the reel after it has made two revolutions starting from rest. Neglect the mass of the rollers and the mass of the cable. Assume the radius of gyration of the reel about its center axis remains constant at \(k_{O} = 0.6 \ m\).

Questions & Answers

QUESTION:

A force of P = 60 N is applied to the cable, which causes the 200-kg reel to turn since it is resting on the two rollers A and B of the dispenser. Determine the angular velocity of the reel after it has made two revolutions starting from rest. Neglect the mass of the rollers and the mass of the cable. Assume the radius of gyration of the reel about its center axis remains constant at \(k_{O} = 0.6 \ m\).

ANSWER:

Problem 18-4

A force of P = 60 N is applied to the cable, which causes the 200-kg reel to turn since it is resting on the two rollers A and B of the dispenser. Determine the angular velocity of the reel after it has made two revolutions starting from rest. Neglect the mass of the rollers and the mass of the cable. Assume the radius of gyration of the reel about its center axis remains constant at kO = 0.6 m.

Step by Step Solution

Step 1 of 3

Since the system starting from rest, the kinetic energy at position 1 is zero, and the rotational kinetic energy at position 2 is

Where is the reel mass, is the radius of gyration of the reel about its center axis.

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