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प्रश्न
Differentiate between free and forced vibrations.
Distinguish between free vibrations and forced vibrations (Two points).
उत्तर
| Sr.No | Free vibrations | Forced vibrations |
| 1 |
Free vibrations are produced when a body is disturbed from its equilibrium position and released. |
Forced vibrations are produced by an external periodic force of any frequency. |
| 2 | To start free vibrations only, the force is required initially. | Continuous external periodic force is required. If external periodic force is stopped, then forced vibrations also stop. |
| 3 |
The frequency of free vibrations depends on the natural frequency. |
The frequency of forced vibrations depends on the frequency of the external periodic force. |
| 4 | The energy of the body remains constant in the absence of friction, air resistance, etc. Due to damping forces, total energy decreases. | The energy of the body is maintained constant by the external periodic force. |
| 5 | The amplitude of vibrations decreases with time. | Amplitude is small but remains constant as long as an external periodic force acts on it. |
| 6 | Vibrations stop sooner or later depending on the damping force. |
Vibrations stop as soon as external periodic force is stopped. |
Notes
Students should refer to the answer according to their questions.
संबंधित प्रश्न
What are the forced vibrations and resonance?
Distinguish between forced vibrations and resonance.
A sonometer wire vibrates with three nodes and two antinodes, the corresponding mode of vibration is ...................
a) First overtone
b) Second overtone
c) Third overtane
d) Fourth overtone
Show that only odd harmonics are present in an air column vibrating in a pipe closed at one end.
A stretched wire emits a fundamental note of frequency 256 Hz. Keeping the stretching force constant and reducing the length of wire by 10 cm, the frequency becomes 320 Hz. Calculate the original length of wire.
State law of length.
What are forced vibrations?
Show that even as well as odd harmonics are present as an overtone in modes of vibration of the string.
A stretched wire 60 cm long is vibrating with its fundamental frequency of 256 Hz. If the length of the wire is decreased to 15 cm and the tension remains the same. Then the fundamental freuqency of the vibration of the wire will be ______.
