Simple harmonic motion, energy in SHM, simple/compound pendulum, damped and forced oscillations.
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Q1 · Simple Harmonic Motion · EASY
A simple harmonic oscillator has a time period of 2 s. At t = 0, the particle is at maximum displacement. What fraction of the total energy is kinetic when the displacement is half of the amplitude?
Q2 · Simple Harmonic Motion · EASY
A particle executes simple harmonic motion with amplitude A and time period T. What is the maximum velocity of the particle?
Q3 · Simple Harmonic Motion · MEDIUM
A simple harmonic oscillator has a time period of 2 s. At what fraction of its amplitude will the kinetic energy and potential energy be equal?
Q4 · Simple Harmonic Motion · EASY
A simple harmonic oscillator has a time period T and amplitude A. What is the maximum speed of the oscillator?
Q5 · Oscillations · HARD
A U-tube of uniform cross-section contains a liquid column of total length L. The liquid is displaced slightly from equilibrium and released. Assuming no friction, what is the period of oscillation?