Concept explainers
Answer the previous question for each of the following cases.
a. twice the mass
b. twice the speed
c. twice the length of string (radial distance)
d. twice the mass, twice the speed, and twice the distance all at the same time
(a)
The tension in the string for the given change.
Answer to Problem 54A
The tension in the string is
Explanation of Solution
Given:
The length of the string is
The mass is
The linear speed is
Also, mass is doubled.
Formula used:
The expression for the tension in the string is,
Here,
Calculation:
The tension in the string is,
Conclusion:
Thus, the tension in the string is
(b)
The tension in the string for the given change.
Answer to Problem 54A
The tension in the string is
Explanation of Solution
Given:
The length of the string is
The mass is
The linear speed is
Speed is doubled.
Formula used:
The expression for the tension in the string is,
Here,
Calculation:
The tension in the string is,
Conclusion:
Thus, the tension in the string is
(c)
The tension in the string for the given change.
Answer to Problem 54A
The tension in the string is
Explanation of Solution
Given:
The length of the string is
The mass is
The linear speed is
Length of string or radial distance is doubled.
Formula used:
The expression for the tension in the string is,
Here,
Calculation:
The tension in the string is,
Conclusion:
Thus, the tension in the string is
(d)
The tension in the string for the given change.
Answer to Problem 54A
The tension in the string is
Explanation of Solution
Given:
The length of the string is
The mass is
The linear speed is
Mass, speed and distance at all the times is doubled.
Formula used:
The expression for the tension in the string is,
Here,
Calculation:
The tension in the string is,
Conclusion:
Thus, the tension in the string is
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