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Hardik Batra
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what is the limitation of T = 2π [itex]\sqrt{\frac{m}{k}}[/itex]
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Hardik Batra said:what is the limitation of T = 2π [itex]\sqrt{\frac{m}{k}}[/itex]
Simple Harmonic Motion is a type of periodic motion in which the restoring force is directly proportional to the displacement from the equilibrium position and is directed towards that position. It occurs in systems where there is a linear relationship between the displacement and the restoring force, such as a mass-spring system.
The period of SHM is the time it takes for one complete cycle of motion, from the starting point, through the maximum displacement in one direction, back to the starting point, and then through the maximum displacement in the opposite direction.
The time period, T, in SHM has the following limitations:
The limitations of SHM can be overcome by using more advanced mathematical models, such as the damped harmonic oscillator or the driven harmonic oscillator. These models take into account factors such as friction, air resistance, and nonlinear restoring forces, and can provide more accurate predictions for the motion of a system.
Some examples of SHM in everyday life include the motion of a pendulum, the vibrations of a guitar string, and the motion of a mass attached to a spring. Other examples include the motion of a swing, a bouncing ball, and a mass on a horizontal spring that is stretched and released.