Precalculus with Limits: A Graphing Approach
7th Edition
ISBN: 9781305071711
Author: Ron Larson
Publisher: Brooks/Cole
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Question
Chapter 10.2, Problem 74E
To determine
To find: The tension in each of the supporting cables if the weight of a crate is 500 newtons.
Expert Solution & Answer
Answer to Problem 74E
The tension in each of the supporting cables are
Explanation of Solution
Given information: A crate of weight 500 newtons is supported by three cables, as shown in the figure below.
Figure (1)
Calculation:
Three upward forces AB , AC and AD are acting on the load. The forces are in the form
The vector AB is,
The vector AC is,
The vector AD is,
One downward force is also acting on the load that is the weight 500 newton. Let
The unit vector in direction of AB is
The unit vector in direction of AC is
The unit vector in direction of AD is
At equilibrium, the resultant action on load is zero. Therefore
The equations formed are:
Solve the above equations.
Therefore, the tension in each of the supporting cables are
Chapter 10 Solutions
Precalculus with Limits: A Graphing Approach
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