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Engineering and Tech / Engineering Mechanics Dynamics (1) 1 14 / Chapter 19 / Problem 19-7

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

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Solution: The double pulley consists of two wheels which are

Chapter 19, Problem 19-7

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QUESTION:

The double pulley consists of two wheels which are attached to one another and turn at the same rate. The pulley has a mass of 15 kg and a radius of gyration of \(k_{O} = 110 \ mm\). If the block at A has a mass of 40 kg, determine the speed of the block in 3 s after a constant force of 2 kN is applied to the rope wrapped around the inner hub of the pulley. The block is originally at rest.

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QUESTION:

The double pulley consists of two wheels which are attached to one another and turn at the same rate. The pulley has a mass of 15 kg and a radius of gyration of \(k_{O} = 110 \ mm\). If the block at A has a mass of 40 kg, determine the speed of the block in 3 s after a constant force of 2 kN is applied to the rope wrapped around the inner hub of the pulley. The block is originally at rest.

ANSWER:

Step 1 of 4

Refer to the free body diagram below.

Apply the principle of impulse and momentum to the system.

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