Forced Oscillations

IMPORTANT

Forced Oscillations: Overview

This topic covers concepts, such as Forced Oscillations, Amplitude Resonance in Forced Oscillations, Equation of Forced Oscillations, Free Oscillations, Natural Frequency of a System, Driving Frequency, etc.

Important Questions on Forced Oscillations

EASY
IMPORTANT

The frequency of free oscillation called _____ frequency.

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

HARD
IMPORTANT

In the given arrangement which pair can represents the resonance.(All are simple pendulum).

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MEDIUM
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The variation of amplitude of forced oscillation vs driving frequency. Which part represents least damping.

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MEDIUM
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The variation of amplitude of forced oscillation vs driving frequency, which point represents the heavy damping.

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MEDIUM
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What is the frequency with which forced periodic oscillations oscillate?
 

MEDIUM
IMPORTANT

A vibrating system is analysed, and it is found that two successive oscillations have amplitudes of 3 mm and 0.5 mm  respectively. The damping ratio of the system is:

MEDIUM
IMPORTANT

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

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

EASY
IMPORTANT

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

EASY
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In case of a forced vibration, the resonance wave becomes very sharp when the

EASY
IMPORTANT

Which of the diagrams shown in figure represents variation of total mechanical energy of a pendulum oscillating in water as function of time?

EASY
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When a body of natural frequency n is subjected to the external force vibrating with frequency p, the body vibrates with frequency p under steady state with an amplitude which depends upon

MEDIUM
IMPORTANT

A metal wire of linear mass density of 9.8 g m-1is stretched with a tension of kg-wt between two rigid supports 1 m apart. The wire passes at its middle point between the poles of a permanent magnet and it vibrates in resonance when carrying an alternating current of frequency n. the frequency n of the alternating sources is

HARD
IMPORTANT

A particle, with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force.

F=F0sinωt

If the amplitude of the particle is maximum for ω=ω1 and the energy of the particle is maximum for ω=ω2 then

EASY
IMPORTANT

If the differential equation given by

d2ydt2+2kdydt+ω2y=F0 sin pt

Describes the oscillatory motion of body in a dissipative medium under the influence of a periodic force, then the state of maximum amplitude of the oscillation is a phenomena of

HARD
IMPORTANT

A light pointer fixed to one prong of a tuning fork touches a vertical plate. The fork is set vibrating at a frequency of 56 Hz and allowed to free fall. Calculate how many complete oscillation are counted when plate falls at 10 cm

EASY
IMPORTANT

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