Concept explainers
Gymnast Gracie of weight mg is suspended by a pair of vertical ropes attached to the ceiling.
a. In terms of Gracie’s weight, what is the tension in each rope?
b. If Gracie’s mass is 30 kg, show that the tension in each rope is 150 N.
a.
The tension in each rope in terms of G’s weight,
Answer to Problem 61A
Tension in the ropes will be same and will be
Explanation of Solution
Introduction:
According to Newton’s second law of motion, if the force
Let the tension in the ropes be
Now, considering the Newton’s second law of motion, since there is no motion in vertical direction, thus net force on G is zero. Hence it can be written that,
Conclusion:
Hence, the tension in each rope is
b.
To prove: The tension in each rope is
Explanation of Solution
Given:
From part (a), the tension in each rope is
Calculation:
It is known that
Then, the tension in each rope can be written as,
Conclusion:
Hence, the tension in each rope is
Chapter 7 Solutions
Conceptual Physics: The High School Physics Program
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