Oscillations

What is the time period of a simple pendulum of length 1 m on the surface of the Earth (g = 9.8 m/s²)?

Which of the following quantities remains constant during simple harmonic motion (SHM)?

The displacement in SHM is given by x = A cos(ωt + φ). What is the phase difference between velocity and displacement?

For a mass-spring system, the angular frequency ω is given by:

If the amplitude of oscillation of a simple harmonic oscillator is doubled, how does the total energy change?

A simple pendulum oscillates with a period T. If it is taken to a place where acceleration due to gravity is 1/4th, what will be the new period?

Which of the following is NOT a characteristic of simple harmonic motion?

The equation of motion for a particle is given by x = 5 sin(10t + π/3). What is the frequency of oscillation?

In a damped harmonic oscillator, which of the following decreases with time?

A 0.5 kg mass attached to a spring oscillates with a frequency of 2 Hz. What is the spring constant k?