Question

Draw a sketch showing the displacement of a body executing damped vibrations against time.

Answer 1

Oscillation is the periodic variance of a metric around a central value or between two or more states, usually in time. Mechanical oscillation is specifically defined by the term vibration. A swinging pendulum and alternating current are also cases of oscillation.

Complete answer:
Both sounding bodies are subject to dissipative forces; otherwise, the body would lose no energy and, as a result, no sound energy would be emitted. As a result, sound waves are produced by mechanical oscillatory systems emitting radiation. Electromagnetic waves are generated by radiations from oscillating electric and magnetic fields, as we'll see later.

The amplitude of oscillations steadily decreases over time as a result of radiation from an oscillating mechanism and friction in the system. An oscillator's amplitude (or energy) is reduced by damping, and the oscillations are said to be damped.A real system's damping is a complicated process involving many types of damping forces.The damping force opposes the body's movement.The damping force's magnitude is strictly proportional to the body's velocity.The damping force is directed in the opposite direction as the velocity.

Vibrations are said to be damped as the energy of a vibrating device is steadily dissipated by friction and other resistances. The vibrations steadily decrease in frequency or intensity, or stop altogether, and the mechanism returns to its original state of equilibrium. The vibrating body exhibits damped vibration, as seen in the diagram, where the amplitude decreases over time.

In the presence of a resistive force, damped vibrations are intermittent vibrations of diminishing amplitude. Because of the friction (or resistive) force that the surrounding medium exerts on the vibrating body, the amplitude of motion decreases. The vibrating body constantly wastes energy doing work against the force of friction as a result of this resistive force, and its amplitude steadily decreases.

Note: The key distinction between damped and undamped vibrations is that undamped vibrations refer to vibrations in which the vibrating object's energy is not dissipated to the environment over time, while damped vibrations refer to vibrations in which the vibrating object's energy is lost to the environment.