Frequency (f) = (1/2π)√(k/m) => k = (2πf)² * m = (2π*3)² * 2 ≈ 18 N/m.

Frequency (f) = 1/(2π)√(k/m) => k = (2πf)²m = (2π × 3)² × 0.5 ≈ 18 N/m.

Period (T) = 1 / frequency = 1 / 2 Hz = 0.5 s.

Time period (T) = 2π√(L/g) = 2π√(1/9.8) ≈ 2 s

Time period (T) = 1 / frequency = 1 / 440 Hz ≈ 0.00227 s

Time period (T) = 1 / frequency = 1 / 440 Hz ≈ 0.00227 s.

Total energy (E) in SHM is proportional to the square of the amplitude (A). If A is doubled, E becomes 4A^2, hence it quadruples.

The period T is inversely proportional to frequency f. If f is doubled, T is halved.

Maximum velocity occurs at the mean position where the displacement is zero.

The restoring force in SHM is a conservative force as it can do work and store energy.

Time period (T) = 2π√(m/k), doubling m will double T.

Time period (T) = 2π√(m/k). If mass (m) increases, T increases.

The energy of a simple harmonic oscillator is maximum at the amplitude, where the velocity is zero and all energy is potential.

Angular frequency (ω) = 2πf = 2π × 5 = 10 rad/s

The frequency of the second harmonic is twice the fundamental frequency. Therefore, if the fundamental frequency is 10 Hz, the second harmonic frequency is 2 * 10 Hz = 20 Hz.

The maximum displacement is defined as the amplitude.

Maximum speed (v_max) = ωA => ω = v_max / A = 4 m/s / 2 m = 2 rad/s.

The restoring force (F) is directly proportional to the displacement (x) and acts in the opposite direction, F = -kx.

The restoring force (F) is directly proportional to the displacement (x) and acts in the opposite direction, F = -kx.

Restoring force (F) is proportional to displacement (x), F = -kx.

The maximum displacement from the mean position in simple harmonic motion is called the amplitude.

If two particles are executing simple harmonic motion in the same direction with the same amplitude and frequency, their phase difference is 0.

In phase means the phase difference is 0 radians.

If they have the same frequency and direction, the phase difference is 0.

At maximum displacement, potential energy is maximum and kinetic energy is zero.