Concept explainers
When Nellie hangs from ropes at different angles, as shown in Figure 2.13, how does the vector resultant of the two rope tensions compare with her weight?
To compare: The vector resultant of the two rope tensions with person N weight.
Answer to Problem 20A
Weight of the person N and resultant of two rope tensions are equal in magnitude but opposite in direction.
Explanation of Solution
Given:
Person N is hanging from two ropes but making different angles. Other ends of the ropes are fixed.
Formula Used:
According to parallelogram law, the resultant of two vectors is
Calculation:
Person N weight will balance the tension in the two ropes. Tension in the ropes will vary either due to change in the position of person N or change in the angle between the two ropes with the vertical.
The resultant of two rope tensions is,
Where,
From the given diagram,
So,
Conclusion:
Therefore, person N weight is equal in magnitude of the resultant of two vectors but its acts in opposite direction.
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Conceptual Physics: The High School Physics Program
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