Forced Oscillations and Resonance

The amplitude for the resonance of a spring mass system is $5\mathrm{cm}$, if the angular frequency of the driving force is $100 \raisebox{1ex}{$\mathrm{rad}$}\!\left/ \!\raisebox{-1ex}{$\sec $}\right.$ and the damping constant is $50 \raisebox{1ex}{$\mathrm{gm}$}\!\left/ \!\raisebox{-1ex}{$\sec $}\right.$; then find the amplitude of the driving force.

In case of forced oscillation; the resonance peak becomes very sharp when the

When an external force is applied on an oscillating particles and reduces the amplitude of the oscillation of the particle then this is called as-

A tuning fork starts vibrating as soon as certain tune is played on speaker, this is because of property known as-

Higher the value of damping constant higher will be amplitude at resonance.

What is the frequency with which forced periodic oscillations oscilate?

In a free oscillation,what happens to the amplitude,frequency and energy of the oscillating body?

Derive a differential equation for a damped S.H.M.

A mass of $5 \mathrm{kg}$ is suspended from a spring of stiffness $4000 \mathrm{N}/\mathrm{m}$. The system is fitted with a damper with a damping ratio of $0.02$. The mass is pulled down $50 \mathrm{mm}$ and then released. Calculate the damped frequency.

A mechanical system is oscillating at resonance with a constant amplitude. Which one of the following statements is not correct?

Explain free and damped oscillations.

Explain forced and resonance oscillations

In case of a forced oscillation, the resonance peak becomes very sharp when the

The vibrations that can continue even after the external force is removed are called free vibrations or natural vibrations.

Natural frequency of a body depends on the shape, size, and _____ (elasticity/intensity) of the body.

Explain the condition for resonance in forced oscillation.

The natural frequency of a spring block system is $1000 \mathrm{Hz}$. An external force of frequency $2000 \mathrm{Hz}$ is applied in the block. What is the frequency of oscillation of the block? 

In case of a forced oscillation, the resonance peak becomes very sharp when the

For resonance, the frequency of the externally applied force must be half that of the natural frequency.

For resonance, the frequency of the externally applied force must be half that of the natural frequency.