MEDIUM
Earn 100

Explain forced and resonance oscillations

Important Questions on Oscillations

EASY

Two pendulums C and D are suspended from a wire as shown in the given figure. Pendulum C is made to oscillate by displacing it from its mean position. It is seen that D also starts oscillating. Name the type of oscillation, D will execute.

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EASY
A block of mass 1 kg attached to a spring is made to oscillate with an initial amplitude of 12 cm. After 2 minutes the amplitude decreases to 6 cm. Determine the value of the damping constant for this motion. (take ln2=0.693 )
EASY
The amplitude of a mass-spring system, which is executing simple harmonic motion decreases with time. If mass =500 g, Decay constant =20 g s-1 then how much time is required for the amplitude of the system to drop to half of its initial value? ln2=0.693
EASY
A block of mass 0.1 kg is connected to an elastic spring of spring constant 640 N m-1 and oscillates in a damping medium of damping constant 10-2 kg s-1 . The system dissipates its energy gradually. The time taken for its mechanical energy of vibration to drop to half of its initial value, is closest to-
MEDIUM
The amplitude of a damped oscillator decreases to 0.9 times its original magnitude in 5s. In another 10s it will decrease to α times its original magnitude, where α equals :
HARD

A pendulum with the time period of 1 s is losing energy due to damping. At a certain time, its energy is 45 J. If after completing 15 oscillations its energy has become 15 J, then its damping constant (in s-1) will be

EASY

The amplitude of a simple pendulum, oscillating in air with a small spherical bob, decreases from 10 cm to 8 cm in 40 seconds. Assuming that Stokes law is valid, and ratio of the coefficient of viscosity of air to that of carbon dioxide is 1.3, the time in which amplitude of this pendulum will reduce from 10 cm to 5 cm in carbondioxide will be close to (ln 5 = 1.601, ln 2 = 0.693).

HARD
A simple harmonic oscillator of angular frequency 2 rad s-1 is acted upon by an external force F=sint NIf the oscillator is at rest in its equilibrium position at t=0, its position at later times is proportional to:
MEDIUM

A vibrating tuning fork is placed over the mouth of the burette filled with water. The tap is opened and the water level gradually falls, it is found that the sound becomes very loud for some particular length of water column. Why does the sound become very loud?

EASY
Amplitude of a wave is represented by 

A = c a + b - c

Then resonance will occur when
MEDIUM
Explain why the train is not allowed to move on a long railway bridge with uniform speed?
MEDIUM

A vibrating tuning fork is placed over the mouth of the burette filled with water. The tap is opened and the water level gradually falls, it is found that the sound becomes very loud for some particular length of water column. State the name of phenomenon taking place when this happens.

EASY
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
EASY

A vibrating tuning fork is placed over the mouth of the burette filled with water. The tap is opened and the water level gradually falls, it is found that the sound becomes very loud for some particular length of water column. What is the name of phenomenon when sound is produced for other length of air column but it is not very loud?

MEDIUM
A glass tube of length 1.0 m is completely filled with water. A vibrating tuning fork of frequency 500 Hz is kept over the mouth of the tube and water is drained out slowly at the bottom of tube. If velocity of sound in air is 330 ms-1, then the total number of resonance that occur will be
MEDIUM
Give one example each of natural vibration, forced vibration and resonance.
EASY
In forced oscillation of a particle the amplitude is maximum for a frequency ω 1 of the force, while the energy is maximum for a frequency ω 2 of the force, then
MEDIUM
A tuning fork of frequency 340 Hz is vibrated just above the tube of 120 cm height. Water is poured slowly in the tube, what is the minimum height of water necessary for the resonance?
EASY
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