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Starting from rest, the cable can be wound onto the drum

Engineering Mechanics: Statics & Dynamics | 14th Edition | ISBN: 9780133951929 | Authors: Russell C. Hibbeler ISBN: 9780133951929 123

Solution for problem 12-201 Chapter 12

Engineering Mechanics: Statics & Dynamics | 14th Edition

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Engineering Mechanics: Statics & Dynamics | 14th Edition | ISBN: 9780133951929 | Authors: Russell C. Hibbeler

Engineering Mechanics: Statics & Dynamics | 14th Edition

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Problem 12-201

Starting from rest, the cable can be wound onto the drum of the motor at a rate of vA = (3t 2) m>s, where t is in seconds. Determine the time needed to lift the load 7 m.

Step-by-Step Solution:

Problem 12-201

Starting from rest, the cable can be wound onto the drum of the motor at a rate of m/s, where t is in seconds. Determine the time needed to lift the load 7 m.

                

                                                              Step by Step Solution

Step 1 of 4

Write the relation for the length of the string 1.

 

Here,  are the lengths of the strings from the fixed supports to the corresponding points.

Differentiate the equation once with respect to time.

 

Here,  are the velocities corresponding to points B and C respectively.

Step 2 of 4

Chapter 12, Problem 12-201 is Solved
Step 3 of 4

Textbook: Engineering Mechanics: Statics & Dynamics
Edition: 14
Author: Russell C. Hibbeler
ISBN: 9780133951929

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Starting from rest, the cable can be wound onto the drum