Concept explainers
a. The angle
b. The tension in the rope just before the person’s releases it.
c. Maximum tension in the rope during the swing.
Answer to Problem 92GP
Solution:
a. The angle
b. The tension of the rope is 450 N.
c. The maximum tension is 651 N.
Explanation of Solution
Given
The mass of the student is
The speed of the student is
The length of the rope is
Formula used
The running kinetic energy of the student is converted to potential energy when he makes a swing. Therefore, the formula to be used is
Here, l is the height from the lowest point.
To calculate the tension of the rope, the necessary formula is
The tension is maximum at the beginning of the swing. Therefore, its value at that position is
Calculations
a.
The height reached by the student is:
Therefore, from the figure,
Part b
From the figure above:
Part c
From equation (3),
Conclusion:
a. The angle
b. The tension of the rope is 450 N.
c. The maximum tension is 651 N.
Chapter 6 Solutions
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