Lagrangian function, which is for junior level of physics, of a sphere on a cylindrical surface
Question: There is an open cylinder of radius \(R\), which is stationary. A hollow sphere of radius \(\rho\) and mass […]
Category: Physics
Investigate the mechanical model of the proton (angular momentum etc.)
Question: The proton’s mass and radius are 1.67 \(\times\) 10\(^{-27}\) kg and 1.00 \(\times\) 10\(^{-15}\) m. This system is governed […]
What is the difference between intensity, power, and energy?
Question: There is a speaker emitting sound with a uniform power of 250 W. At what distance will the intensity […]
Normalize a wave function: Quantum mechanical harmonic oscillator
Question: The wave function for the one dimensional harmonic oscillator with the potential energy, \(\frac{1}{2}kx^2\), is given as \[ \Phi_0 […]
The Newton’s equation of motion when you push two objects at once!
Question: The objects A and B have masses, 20.0 kg and 10.0 kg, respectively. They are placed on a frictionless […]
Trigonometric functions with a parametric representation – How to solve the simultaneous equations
Question: Here is a set of simultaneous equations, $\sin x = \cos y = \sin (y-x)$. The ranges are \(0 […]
The big wave, Tsunami!
Tsunami is greatly shaken by the earthquake. Thus, the wavelength would become several tens of kilometers to several hundreds of […]
Music, sounds and waves… It’s amazing!
We are actually surrounded by many types of waves. Musical instruments are familiar to us to appreciate the waves of […]
The photoelectric effect and the mysterious facts that physicists used to think of
The photoelectric effect is the phenomenon that electrons jump out when light is shined on the surface of a metal. […]
Actually, this world cannot be represented by mathematical expressions!
The law of motion discovered by Newton can explain every movement in terms of force, mass and acceleration in principle. […]