Charged Ball on String: Tension and Vertical Movement Explained

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A charged ball hanging from a string experiences two components of tension: a vertical component equal to the gravitational force (mg) and a horizontal component equal to the force exerted by a nearby charged rod. The angle θ that the string makes with the vertical can be calculated using the formula θ = tan⁻¹(Felec/Fmg). The horizontal tension is directly influenced by the electric force from the charged rod, which is the only force causing the deviation from the vertical. This discussion clarifies the relationship between electric forces and tension in the context of charged objects. Understanding these dynamics is crucial for analyzing the behavior of charged objects in electrostatic scenarios.
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Hello:

Suppose that I have a charged ball hanging on a string. Then I placed a charged rod next to the ball and caused my string to make an angle with the vertical. Then, the tension in the string in the horizontal component would be equal to the force from the charged rod, no? That's the only force that's causing the string to move with respect to the vertical. Then my tension in the vertical component = mg.

Thanks.
 
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bodensee9 said:
Hello:

Suppose that I have a charged ball hanging on a string. Then I placed a charged rod next to the ball and caused my string to make an angle with the vertical. Then, the tension in the string in the horizontal component would be equal to the force from the charged rod, no? That's the only force that's causing the string to move with respect to the vertical. Then my tension in the vertical component = mg.

Thanks.

Sounds OK.

And the angle it makes θ, is the tan-1(Felec/Fmg)
 

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