17-106. The spool has a mass of 500 kg and a radius of

Chapter 18, Problem 17-106

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QUESTION:

17-106. The spool has a mass of 500 kg and a radius of gyration kG = 1.30 m. It rests on the surface of a conveyor bell for which the coefficient of static friction is /xy = 0.5 and the coefficient of kinetic friction is /x* = 0.4. If the conveyor accelerates at ac = I m/s2, determine the initial tension in the wire and the angular acceleration of the spool. The spool is originally at rest.

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QUESTION:

17-106. The spool has a mass of 500 kg and a radius of gyration kG = 1.30 m. It rests on the surface of a conveyor bell for which the coefficient of static friction is /xy = 0.5 and the coefficient of kinetic friction is /x* = 0.4. If the conveyor accelerates at ac = I m/s2, determine the initial tension in the wire and the angular acceleration of the spool. The spool is originally at rest.

ANSWER:

Step  1 of 8

Given:

 

The FBD of the spool is shown here, we assume the system to be static,

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