
Concept explainers
(a)
The expression for the tension in each section of string.
(a)

Answer to Problem 50P
The expression for the tension in each section of string is
Explanation of Solution
The free body diagram for the system is given by figure 1.
Write the expression for the net force from Newton’s second law.
Here,
Conclusion:
Substitute,
Substitute,
Divide equation (IV) by (III) and substitute
Substitute,
Thus, the expression for the tension in each section of string is
(b)
The expression for the angle
(b)

Answer to Problem 50P
The expression for the angle
Explanation of Solution
Write the expression for the net force from Newton’s second law.
Conclusion:
Divide equation (IV) by (III) and substitute
Thus, the expression for the angle
(c)
The expression for the distance between the endpoints of the string.
(c)

Answer to Problem 50P
The expression for the distance between the endpoints of the string is
Explanation of Solution
Write the expression for the total length.
Here,
Write the expression for the distance.
Conclusion:
Substitute,
Thus, the expression for the distance between the endpoints of the string is
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Chapter 4 Solutions
Principles of Physics: A Calculus-Based Text
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