Simple harmonic motion, energy in SHM, simple and compound pendulum.
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Q1 · Oscillations (Class 11 — ~20% weight) · EASY
A particle executing simple harmonic motion has a maximum velocity of 30 cm/s and a maximum acceleration of 60 cm/s². What is the amplitude of oscillation?
Q2 · Oscillations (Class 11 — ~20% weight) · MEDIUM
A simple pendulum of length 1 m is suspended from the ceiling of an elevator. When the elevator accelerates upward with acceleration 2 m/s², what is the time period of the pendulum? (Take g = 10 m/s²)
Q3 · Oscillations (Class 11 — ~20% weight) · HARD
A compound pendulum has moment of inertia I about the axis of oscillation passing through point O. The distance between O and the center of mass G is h. If the mass of the pendulum is m, what is the length of the equivalent simple pendulum?
Q4 · Oscillations (Class 11 — ~20% weight) · MEDIUM
A particle executes simple harmonic motion with amplitude 8 cm. At what displacement from the mean position will its kinetic energy be equal to its potential energy?
Q5 · Oscillations (Class 11 — ~20% weight) · EASY
A spring with force constant 200 N/m is compressed by 5 cm. What is the potential energy stored in the spring?