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Jason Ko
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For the horizontal case of SHM, we only need to consider KE and EPE. But should we also take GPE into consideration when we are dealing with a vertical case?
Not necessarily. The equilibrium length of a spring will increase if a mass is hanging vertically. But, the period of oscillation is unaffected. It depends only on the mass and the spring constant.Jason Ko said:For the horizontal case of SHM, we only need to consider KE and EPE. But should we also take GPE into consideration when we are dealing with a vertical case?
Thks a lotPeroK said:Not necessarily. The equilibrium length of a spring will increase if a mass is hanging vertically. But, the period of oscillation is unaffected. It depends only on the mass and the spring constant.
If you do the maths, you'll see where the GPE cancels out.
Or, simply Google for SHM mass spring system. There's a good explanation on phys.libretexts.org.
GPE stands for gravitational potential energy and it is the energy an object possesses due to its position in a gravitational field. In the vertical case of SHM, GPE is one of the forms of energy that is constantly changing as the object oscillates between its maximum height and lowest point.
GPE is an essential component in understanding the total energy of a system in SHM. By considering GPE, we can better understand the energy transfer between potential and kinetic energy as the object oscillates, and how it affects the amplitude and period of the oscillation.
As the object oscillates between its maximum height and lowest point, GPE is constantly being converted into kinetic energy and vice versa. This means that the amplitude of the oscillation will decrease over time as some of the energy is lost to other forms, such as heat. The period of the oscillation, however, remains constant as long as the amplitude is small.
Yes, other factors such as air resistance and the mass of the object can also affect the behavior of SHM in the vertical case. However, GPE is a crucial factor to consider as it is directly related to the gravitational force acting on the object and plays a significant role in determining the energy of the system.
No, GPE cannot be ignored as it is an important aspect of the total energy in SHM. Ignoring GPE would result in an incomplete understanding of the system and could lead to inaccurate predictions about the behavior of the object. It is important to consider all forms of energy, including GPE, in order to fully understand and analyze SHM in the vertical case.