Dear Sir,
I am Strcuture Engineer,I have a question regarding to maximum displacement in different structures,I am going to design a 27m height water tower which support 20ton mass of water therefore I need the maximum displacement for this type of strcuture so, could you help me in this issu.
Thatnks.
Najib Azizi
In a simple harmonic oscillator, kinetic energy and potential energy are equal at the amplitude of the motion. At this point, all the energy is in the form of kinetic energy, and the displacement is at its maximum value.
Acceleration is greatest at the extremities of the motion in simple harmonic motion (SHM). This occurs when the displacement is maximum and the restoring force is also maximum, resulting in the highest acceleration.
The amplitude of the oscillation, which is the maximum displacement from the equilibrium position, is determined by the mass of the hanging object and the spring constant. The maximum displacement occurs when the object is released from its initial position and the system is in simple harmonic motion.
Well, isn't that a happy little question! In simple harmonic motion, the magnitude of the acceleration is greatest when the object is at its maximum displacement from the equilibrium position. Just like painting a beautiful landscape, understanding the peaks and valleys of motion can help us appreciate the beauty of physics.
'Above resonance' means a frequency higher than the resonant frequency of a system, while 'below resonance' means a frequency lower than the resonant frequency. At resonance, a system vibrates with maximum amplitude, making these concepts important in understanding the behavior of vibrating systems like simple harmonic oscillators.
amplitude at resonance is large[maximum] but finite
The potential energy of a simple harmonic oscillator reaches its maximum value twice during one complete oscillation. This occurs when the displacement of the oscillator is at its maximum and at its minimum amplitude.
When kinetic and potential energies are equal, the object is at the maximum displacement from the equilibrium position. This is known as the amplitude of the oscillation in simple harmonic motion. At this point, all the energy is stored as potential energy.
The maximum displacement for equilibrium occurs when the restoring force is at its maximum, which is equal to the applied force. This displacement is known as the equilibrium position, where the net force acting on the object is zero.
Amplitude can be measured by calculating the maximum displacement of a wave from its equilibrium position. For example, in a simple harmonic oscillator, amplitude is measured as the distance from the equilibrium position to the maximum displacement of the oscillator. In a wave, amplitude can be measured as the height of the wave from the resting position to the peak.
The term for maximum displacement is the amplitude of the wave.
If you record your voice for example you have a certain amplitude and a certain velocity. If you listen to the recording and slow it down your velocity wil slow down and the amplitude will stretch wich will make it sound lower.