Oscillations
Which of the following statements best describes the restoring force in Simple Harmonic Motion (SHM)?
A mass is attached to a spring with spring constant . If the mass is doubled and the spring constant is doubled, what happens to the period of oscillation?
A simple harmonic oscillator has a frequency of 2 Hz. What is its period?
Two identical springs with spring constant are connected to a mass in series. What is the period of oscillation of this system?
A mass of 2 kg is attached to a spring with a spring constant of 8 N/m. What is the period of oscillation of this spring-mass system?
A simple pendulum has a length of 1 meter. What is its period of oscillation on Earth (where g ≈ 9.8 m/s²)?
A simple pendulum has a length and a period on Earth. If the length is quadrupled, what is the new period?
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An object oscillates with a period of 4 seconds. What is its angular frequency?
A spring-mass system has a mass of 2 kg and a spring constant of 8 N/m. A pendulum is to be designed to have the same period as this spring-mass system. What should be the length of the pendulum?
A simple pendulum has a length of 1 meter and is moved to a planet where the acceleration due to gravity is 4 times that of Earth. What is the new period of the pendulum?