Consider a driven damped mechanical oscillator is in resonance. Which of the following statements is true?

Question

Consider a driven damped mechanical oscillator is in resonance. Which of the following statements is true? (A) Driving frequency is twice the natural frequency of the oscillator (B) Power transfer from the driving source to system is minimum (C) Driving frequency is the same as the natural frequency of the oscillator (D) The force damping the oscillations are at a minimum value

Tardigrade Admin · Accepted Answer

Under the condition for resonance for a damped harmonic oscillator, the body oscillates with its own natural frequency f0 with the help an external periodic force whose frequency fd (driving frequency) which is equal to the natural frequency of the body, This means f0=fd

Q. Consider a driven damped mechanical oscillator is in resonance. Which of the following statements is true?

Driving frequency is twice the natural frequency of the oscillator

Power transfer from the driving source to system is minimum

Driving frequency is the same as the natural frequency of the oscillator

The force damping the oscillations are at a minimum value

The driving force is in phase with the displacement

Under the condition for resonance for a damped harmonic oscillator, the body oscillates with its own natural frequency $f_{0}$ with the help an external periodic force whose frequency $f_{d}$ (driving frequency) which is equal to the natural frequency of the body, This means $f_{0} = f_{d}$