Concept explainers
To explain:The concept behind the pole used by the tightrope walkers that will increases their stability.
Answer to Problem 83A
The use of long pole by the tightrope walkers increases his stability by reducing the
Explanation of Solution
Introduction:
Tightrope walkers are the persons who use to carry a long pole in hand while walking over the rope. The usage of long pole by these tightrope walkers increases their stability and provides ease in walking over the rope without falling down.
Consider a tightrope walker is walking over the rope without carrying a pole in his hand. Then, the gravitational will act on this person in the downward direction.
Due to this gravitational force, a torque will be exerted on the tightrope walker. This torque will induce an angular acceleration in the body tightrope walker which makes the person to tilt on the rope and fall down.
The general expression of the torque experienced by the tightrope walker is,
Here,
For the increased stability of the tightrope walker over the rope, the tightrope walker should posses a minimum value of angular acceleration
Both of these requirements will be satisfied by the usage of a long by the tightrope walkers as follows:
The moment of inertia
The torque
Hence, the use of long pole by the tightrope walkers increases his stability by reducing the angular acceleration to a minimum.
Conclusion:
Thus, the use of long pole by the tightrope walkers increases his stability by reducing his angular acceleration to a minimum.
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