What does the period of a normal pendulum depend on?

In summary, the conversation discusses the relationship between the time period of a simple pendulum and its length, as well as the effect of a negative charge on the pendulum's bob. It is mentioned that the time period depends on the string's length and the value of g, and that tension may increase in the presence of a negative charge. However, whether the string is considered to be rigid or not can also affect the time period. Additionally, it is suggested that g can be assumed to be 9.8 and that if the string is rigid, the time period will remain the same. The conversation also briefly discusses the forces acting on the bob when the pendulum is displaced from the vertical.
  • #1
Dumbledore211
111
1

Homework Statement



If a simple pendulum has a metal bob having negative charge and is allowed to oscillate above a positively charged metallic plate will the time period increase, decrease, become zero or remain the same. Could you guys please give me an insight into what happens in the situation

Homework Equations





The Attempt at a Solution

 
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  • #2
What does the period of a normal pendulum depend on?
 
  • #3
It depends basically on the length of the thread or the string and the value of g of the particular place. Since the tension will increase in this situation, won't the length of the string expand leading to an increase in the value of time period?
 
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  • #4
Well, that depends on whether you take the string to be rigid or not. Generally, at undergraduate level, if we consider a string that changes length, we explicitly say so. Otherwise, we assume a rigid string.

What can we replace g with here?
 
  • #5
We can assume g to be 9.8. So, assuming that the string does change length, is my conjecture correct to some extent?
 
  • #6
if the string is taken to be rigid then the time period will remain the same considering that everything remains unchanged.
 
  • #7
Dumbledore211 said:
if the string is taken to be rigid then the time period will remain the same considering that everything remains unchanged.
What are the forces on the bob when the pendulum is displaced from the vertical? Do the usual free body diagram.
 

1. What is a normal pendulum?

A normal pendulum is a simple mechanical device that consists of a weight (or "bob") suspended from a fixed point by a string or rod. When the weight is pulled to one side and released, it swings back and forth in a regular pattern.

2. What is the period of a normal pendulum?

The period of a normal pendulum is the time it takes for one complete swing, from one side to the other and back again.

3. What factors affect the period of a normal pendulum?

The period of a normal pendulum depends on several factors, including the length of the string or rod, the mass of the weight, and the strength of the gravitational field.

4. How does the length of the string or rod affect the period of a normal pendulum?

The longer the string or rod, the longer the period of the pendulum. This is because a longer string or rod allows the weight to swing through a larger arc, resulting in a longer time for one complete swing.

5. How does the mass of the weight affect the period of a normal pendulum?

The mass of the weight does not affect the period of a normal pendulum. This is because the acceleration due to gravity is independent of the mass of an object, so the mass of the weight does not affect the rate at which it swings back and forth.

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