- #1
Time period from potential energy expression
- Thread starter Jahnavi
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In summary, the conversation discusses the expression for force in regards to SHM and how to deal with it not appearing to be in SHM. The solution is to use the equation F = -kx, where x is displacement from the mean position and k is a constant. It is noted that if the mean position is not at x = 0, the equation becomes F = -k(x-x0), where x0 is the mean position. Ultimately, this leads to the conclusion that the original question can now be answered.
- #2
ehild
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What should be the force if a particle performs SHM?Jahnavi said:
- #3
Jahnavi
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ehild said:
F = -kx
x is the displacement from the mean position .k is constant .
- #4
Chandra Prayaga
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What happens if the mean position is not at x = 0?
- #5
Jahnavi
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Chandra Prayaga said:
OK . So the origin is not at the mean position .If it were then F=-kx .
But here mean position is at x= 2 .
Right ?
- #6
Chandra Prayaga
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Right. I am sure you can now answer the original question.
- #7
Jahnavi
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Chandra Prayaga said:
Yes
Thanks !
Related to Time period from potential energy expression
1. What is potential energy and how is it related to time period?
Potential energy is the stored energy an object has based on its position or configuration. The time period is the amount of time it takes for an object to complete one full cycle of motion. The potential energy expression is a mathematical equation that describes the relationship between potential energy and time period. It can be used to calculate the time period of an object based on its potential energy.
2. How is potential energy expressed in terms of time period?
The potential energy expression is typically expressed as a function of time, such as U(t) or U(x,t), where t represents time and x represents the position of the object. This expression can vary depending on the type of potential energy, such as gravitational potential energy or elastic potential energy, but it always includes a factor related to the time period.
3. Can the potential energy expression be used to calculate the time period of any object?
The potential energy expression can only be used to calculate the time period of an object if the potential energy is the only form of energy involved in its motion. If there are other forms of energy, such as kinetic energy, friction, or air resistance, the time period cannot be accurately determined using the potential energy expression alone.
4. How does changing the potential energy affect the time period?
As the potential energy of an object increases, the time period also increases. This is because a higher potential energy means the object has to travel a longer distance or overcome a greater force to complete one full cycle of motion. Similarly, decreasing the potential energy will result in a shorter time period.
5. Is the potential energy expression affected by external factors?
External factors, such as the presence of other objects or forces, can affect the potential energy expression and therefore the calculated time period. For example, if an object is subject to a constant force, the potential energy expression will need to be modified to include this force in order to accurately calculate the time period.
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