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Hamiltonian
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sites or books for SHM high school and undergrad level. i want to understand SHM from the ground up and I am finding difficulty with my current sources
What are your current sources?Hamiltonian299792458 said:sites or books for SHM high school and undergrad level. i want to understand SHM from the ground up and I am finding difficulty with my current sources
I have books to prepare for JEE which arent very comprehensive and focus only on questions and not the concept.PeroK said:What are your current sources?
Books, eh? Hmm!Hamiltonian299792458 said:I have books to prepare for JEE which arent very comprehensive and focus only on questions and not the concept.
...?PeroK said:Books, eh? Hmm!
Simple harmonic motion is a type of periodic motion in which the restoring force is directly proportional to the displacement from the equilibrium position. This means that the object will oscillate back and forth around the equilibrium position with a constant period.
The period of a simple harmonic motion is affected by the mass of the object, the spring constant, and the amplitude of the motion. The period is directly proportional to the square root of the mass and inversely proportional to the square root of the spring constant. It is also independent of the amplitude.
Simple harmonic motion can be represented by the equation x = A sin(ωt + φ), where x is the displacement from equilibrium, A is the amplitude, ω is the angular frequency, and φ is the initial phase angle.
In simple harmonic motion, the total energy of the system remains constant. This means that as the object oscillates back and forth, the potential energy is converted into kinetic energy and vice versa, but the total energy remains the same.
Some common examples of simple harmonic motion 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, the motion of a mass attached to a rubber band, and the motion of a tuning fork.