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Engineering and Tech / Engineering Mechanics Dynamics (1) 1 14 / Chapter 13 / Problem 13-40

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

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Solved: The 400-lb cylinder at A is hoisted using the

Chapter 13, Problem 13-40

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QUESTION:

The 400-lb cylinder at A is hoisted using the motor and the pulley system shown. If the speed of point B on the cable is increased at a constant rate from zero to \(\mathrm{v}_B=10\mathrm{\ ft}/\mathrm{s}\) in t = 5 s, determine the tension in the cable at B to cause the motion.

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QUESTION:

The 400-lb cylinder at A is hoisted using the motor and the pulley system shown. If the speed of point B on the cable is increased at a constant rate from zero to \(\mathrm{v}_B=10\mathrm{\ ft}/\mathrm{s}\) in t = 5 s, determine the tension in the cable at B to cause the motion.

ANSWER:

Step 1 of 4

The acceleration of the point B after is expressed as:

Here, is described as the velocity of the point B after the time period of , is described as the point B’s initial velocity, the point B’s acceleration is and the time of the increase of the acceleration is .

For , and ,

The diagram of the cable’s length that connects with the cylinder and also the motor has been provided below:

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