Concept explainers
(a)
The magnitude of tension in the ribbon.
(a)

Answer to Problem 113P
The magnitude of tension in the ribbon is
Explanation of Solution
The density of the air is
Write the expression to calculate the total mass of the balloon and helium.
Here,
Write the expression for the tension in the ribbon.
Here, T is the tension in the ribbon,
Write the expression for buoyant force.
Here,
Rewrite the equation for T using the above equation.
Substitute the expression for M in the above equation to rewrite.
Substitute
Conclusion:
Therefore, the magnitude of tension in the ribbon is
(b)
The magnitude of time period of oscillation.
(b)

Answer to Problem 113P
The magnitude of time period of oscillation is
Explanation of Solution
The length of the ribbon is
Write the expression to calculate the spring constant.
Here, k is the spring constant and l is the length of the ribbon.
Write the expression to calculate the time period.
Here,
Use
Substitute
Conclusion:
Therefore, the magnitude of time period of oscillation is
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