Oscillatory Motion and Mechanical Systems Quiz

Mechanical energy is conserved in simple harmonic motion.

The period of oscillation of a pendulum with a length of 1 meter is π seconds.

The relationship between the frequency (f) and the period (T) of an oscillating system is f = 1/T.

Damping in oscillatory motion decreases the amplitude of oscillation.

The length of the pendulum affects the period of a simple pendulum.

In an oscillating system, when kinetic energy is maximum, potential energy is minimum.

The equation x = A sin(ωt) represents simple harmonic motion.

Increasing the spring constant (k) in a mass-spring system will increase the angular frequency (ω) of oscillation.

The amplitude of a particle in simple harmonic motion is the maximum displacement from the equilibrium position.

For a damped harmonic oscillator, the amplitude of oscillation decreases over time.

The relationship between angular frequency (ω) and frequency (f) in simple harmonic motion is ω = 2πf.

The amplitude and period of a simple pendulum are independent of each other.

The phase difference between two harmonic oscillators when one is at maximum displacement and the other is at zero displacement is π/2 radians.

The natural frequency of oscillation of a system with a spring constant of 100 N/m and a mass of 2 kg is 20 Hz.

The equation for the total mechanical energy (E) of a mass-spring system in simple harmonic motion is E = 1/2kA^2.

The equation for the angular frequency (ω) of a mass-spring system in simple harmonic motion is ω = √(k/m).

If the length of a simple pendulum is halved, the period becomes double.