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Energy is supplied to the damped oscillatory system at the same rate at which it is dissipating energy, then the amplitude of such oscillations would become constant. Such oscillations are called
- a)Damped oscillations
- b)Undamped oscillations
- c)Coupled oscillations
- d)Maintained oscillations
Correct answer is option 'D'. Can you explain this answer?
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Energy is supplied to the damped oscillatory system at the same rate a...
Energy is supplied to the damped oscillatory system at the same rate at which it is dissipating energy, and then the amplitude of such oscillations would become constant. Such oscillations are called maintained oscillations. By the definition of maintained oscillations.
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Energy is supplied to the damped oscillatory system at the same rate a...
Damped oscillations
Damped oscillations refer to a type of oscillatory motion in which the amplitude of the oscillations decreases over time due to the dissipation of energy. In other words, the energy of the system is gradually being lost to external factors such as friction or air resistance.
Energy supply and dissipation
In the given scenario, the energy is being supplied to the system at the same rate at which it is dissipating energy. This means that the energy input is balancing out the energy loss, resulting in a constant net energy for the system. As a result, the amplitude of the oscillations remains constant over time.
Amplitude of oscillations
The amplitude of oscillations refers to the maximum displacement of the oscillating object from its equilibrium position. In the case of damped oscillations, the amplitude gradually decreases as energy is dissipated. However, when the energy supply matches the energy dissipation, the amplitude remains constant.
Maintained oscillations
The term "maintained oscillations" refers to a situation where the amplitude of oscillations is sustained over time. In this case, the energy input into the system is precisely balanced with the energy dissipation, resulting in a constant amplitude. This type of oscillatory motion is also known as "sustained" or "maintained" oscillations.
Conclusion
When energy is supplied to a damped oscillatory system at the same rate at which it is dissipating energy, the amplitude of the oscillations remains constant. This type of motion is called maintained oscillations. It is important to note that in most real-world systems, it is challenging to achieve perfectly maintained oscillations due to various factors such as friction and energy losses. However, in certain cases, such as in well-designed systems with minimal energy dissipation, it is possible to achieve nearly constant amplitudes of oscillation.
Damped oscillations refer to a type of oscillatory motion in which the amplitude of the oscillations decreases over time due to the dissipation of energy. In other words, the energy of the system is gradually being lost to external factors such as friction or air resistance.
Energy supply and dissipation
In the given scenario, the energy is being supplied to the system at the same rate at which it is dissipating energy. This means that the energy input is balancing out the energy loss, resulting in a constant net energy for the system. As a result, the amplitude of the oscillations remains constant over time.
Amplitude of oscillations
The amplitude of oscillations refers to the maximum displacement of the oscillating object from its equilibrium position. In the case of damped oscillations, the amplitude gradually decreases as energy is dissipated. However, when the energy supply matches the energy dissipation, the amplitude remains constant.
Maintained oscillations
The term "maintained oscillations" refers to a situation where the amplitude of oscillations is sustained over time. In this case, the energy input into the system is precisely balanced with the energy dissipation, resulting in a constant amplitude. This type of oscillatory motion is also known as "sustained" or "maintained" oscillations.
Conclusion
When energy is supplied to a damped oscillatory system at the same rate at which it is dissipating energy, the amplitude of the oscillations remains constant. This type of motion is called maintained oscillations. It is important to note that in most real-world systems, it is challenging to achieve perfectly maintained oscillations due to various factors such as friction and energy losses. However, in certain cases, such as in well-designed systems with minimal energy dissipation, it is possible to achieve nearly constant amplitudes of oscillation.
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Energy is supplied to the damped oscillatory system at the same rate at which it is dissipating energy, then the amplitude of such oscillations would become constant. Such oscillations are calleda)Damped oscillationsb)Undamped oscillationsc)Coupled oscillationsd)Maintained oscillationsCorrect answer is option 'D'. Can you explain this answer?
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Energy is supplied to the damped oscillatory system at the same rate at which it is dissipating energy, then the amplitude of such oscillations would become constant. Such oscillations are calleda)Damped oscillationsb)Undamped oscillationsc)Coupled oscillationsd)Maintained oscillationsCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Energy is supplied to the damped oscillatory system at the same rate at which it is dissipating energy, then the amplitude of such oscillations would become constant. Such oscillations are calleda)Damped oscillationsb)Undamped oscillationsc)Coupled oscillationsd)Maintained oscillationsCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Energy is supplied to the damped oscillatory system at the same rate at which it is dissipating energy, then the amplitude of such oscillations would become constant. Such oscillations are calleda)Damped oscillationsb)Undamped oscillationsc)Coupled oscillationsd)Maintained oscillationsCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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