Simple harmonic motion, energy in SHM, simple pendulum, damped and forced oscillations.
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Q1 · Oscillations · MEDIUM
A 2 kg mass attached to a spring of stiffness 200 N/m. Period of SHM is:
Q2 · Oscillations · MEDIUM
A simple pendulum of length 1 m is at a place where g = π² m/s². Its time period is:
Q3 · Oscillations · EASY
A particle executing simple harmonic motion has a maximum velocity of 30 cm/s and a maximum acceleration of 60 cm/s². The amplitude of oscillation is:
Q4 · Oscillations · MEDIUM
A mass of 0.5 kg is attached to a spring and executes SHM with a time period of 1 second. When the mass passes through the mean position, its kinetic energy is 8 J. The amplitude of oscillation is:
Q5 · Oscillations · HARD
Two simple pendulums of lengths 1 m and 1.44 m start oscillating in phase at a certain instant. After how many oscillations of the shorter pendulum will they again be in phase?